URL="http://webusers.physics.umn.edu/~duplij/publications"


Updated:

Publications 1985-2008

Steven Duplij

(in supersymmetry, quantum groups, categories, semigroups, ternary structures, multigravity, nonlinear electrodynamics and DNA theory)

Old 'my pre-SUSY' publications


Books

S. Duplij, W. Siegel, and J. Bagger (eds.), Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics, Kluwer Academic Publishers, Dordrecht-Boston-London, 2004, 2nd printing, Springer Science and Business Media, Berlin-New York-Heidelberg, 2005.

S. Duplij and J. Wess (eds.), Noncommutative structures in mathematics and physics, Kluwer, Dordrecht, 2001 (Springer Science 2001).

S. Duplij, Semisupermanifolds and semigroups, Krok, Kharkov, 2000.

S. Duplij and V. G. Zima (eds.), Supersymmetric structures in mathematics and physics, UkrINTI, Kiev, 2000.


Articles and preprints

Total number = 101+130 in SUSY Enc.
[Dup08] S. Duplij, Constraint systems and the clairaut equation, ITP Koeln preprint, arXiv:0804.2673, Cologne Univ., 2008, 11 p.
[DS08] S. Duplij and S. Sinel'shchikov, Quantum enveloping algebras with von Neumann regular Cartan-like generators and the Pierce decomposition, ITP Koeln preprint, arXiv:0804.1077, Cologne Univ., 2008, 16 p.
[DS07a] S. Duplij and I. Shapoval, Quantum computations: Fundamentals and algorithms, Problems Of Atomic Science And Technology (PAST-VANT, Kharkov) 3 (2007), no. 1, 230-235, arXiv:0712.1098.
[DK07] S. Duplij and A. Kotvytskiy, Coincidence limit and generalized interaction term structure in multigravity, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 784 (2007), no. 4(36), 67-72, arXiv:0712.0147.
[BD07] A. Yu. Berezhnoy and S. Duplij, Dependence of nucleotide physical properties in water on their placement in codons and determinative degree, Biophysical Bull. Kharkov Univ. 18 (2007), no. 1, 29-47.
[DGS07c] S. A. Duplij, G. A. Goldin, and V. M. Shtelen, Nonlinear supersymmetric classical electrodynamics, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 781 (2007), no. 3(35), 37-47.
[DS07b] S. A. Duplij and I. I. Shapoval, Topological methods in quantum computations, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 781 (2007), no. 3(35), 3-31.
[DGS07a] S. Duplij, G. A. Goldin, and V. Shtelen, Lagrangian and non-Lagrangian approaches to electrodynamics including supersymmetry, XXVI International Workshop on Geometrical Methods in Physics, AIP Conference Proceedings 956 (Bialowieza, Poland, 1-7 July 2007) (P. Kielanowski, A. Odzijewicz, M. Schlichenmeier, and T. Voronov, eds.), Springer Science, New York, 2007, pp. 50-54.
[DGS07b] S. Duplij, G. A. Goldin, and V. M. Shtelen, Generalizations of nonlinear and supersymmetric classical electrodynamics, Rutgers Univ. preprint, arXiv:0711.0404, Piscataway, 2007, 15 p., to appear in J.Phys. A: Math. and Gen. 2008.
[BDD06] A. Borowiec, W. Dudek, and S. Duplij, Bi-element representations of ternary groups, Comm. Algebra 34 (2006), 1651-1670, arXiv:math.GT/0306210.
[DSS06] S. A. Duplij, D. V. Soroka, and V. A. Soroka, A special fermionic generalization of lineal gravity, J. Zhejiang Univ. Science 7A (2006), no. 4, 629-632.
[DKM05] S. A. Duplij, V. V. Kalashnikov, and E. A. Maslov, Quantum information, qubits and quantum algorithms, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 657 (2005), no. 1(26), 103-108.
[DKS05a] S. A. Duplij, O. I. Kotulska, and A. S. Sadovnikov, Constant solutions of quantum Yang-Baxter equation over Grassmann algebra, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 657 (2005), no. 1(26), 23-34.
[BD05] A. Yu. Berezhnoy and S. Duplij, Dependence of nucleotide physical properties on their placement in codons and determinative degree, J. Zhejiang University. Science 6B (2005), no. 10, 948-960, arXiv:0711.3932.
[DKS05b] S. A. Duplij, O. I. Kotulska, and A. S. Sadovnikov, Quantum Yang-Baxter equation and constant R-matrix over Grassmann algebra, J. Zhejiang Univ. Science 6A (2005), no. 10, 1065-1079.
[DSS05] S. A. Duplij, D. V. Soroka, and V. A. Soroka, Fermionic generalization of lineal gravity in centrally extended formulation, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 664 (2005), no. 4, 23-29.
[DD05] D. Duplij and S. Duplij, DNA sequence representation by trianders and determinative degree of nucleotides, J. Zhejiang Univ. Science 6B (2005), no. 4, 743-755.
[DSB04] S. Duplij, W. Siegel, and J. Bagger (eds.), Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics, Kluwer Academic Publishers, Dordrecht-Boston-London, 2004, 2nd printing, Springer Science and Business Media, Berlin-New York-Heidelberg, 2005.
[Dup04a] S. Duplij, 130 articles in, Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics (Dordrecht-Boston-London) (S. Duplij, W. Siegel, and J. Bagger, eds.), Kluwer Academic Publishers, 2004, 2nd printing, Springer Science and Business Media, Berlin-New York-Heidelberg, 2005.
[DL04] S. Duplij and F. Li, Regular R-matrix and weak Hopf algebras, Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004, pp. 177-181.
[Dup04b] S. Duplij, Coderivations, covariant comodule maps and noncommutative geometry, Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004, pp. 173-177.
[DD04] D. Duplij and S. Duplij, DNA walks, trianders and determinative degree, Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004, pp. 250-254.
[DP04] S. A. Duplij and N. M. Pelykhaty, Characteristics of recoil atom implantation profiles, Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004, pp. 44-49.
[BD04] A. Yu. Berezhnoy and S. Duplij, Dependence of nucleotide physical properties on placement in codons and their determinative degree, Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004, pp. 207-208.
[DK04b] S. A. Duplij and V. V. Kalashnikov, Quantum information, qubits and their generalizations, Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004, pp. 169-171.
[DS04a] S. Duplij and A. Sadovnikov, Structure of quantum linear semigroup with regular quantization parameter, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 642 (2004), no. 3(25), 53-58.
[DK04a] S. Duplij and O. Kotulska, Structure of supermatrix models, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 642 (2004), no. 3(25), 45-49.
[DS04b] S. Duplij and I. I. Shapoval, Decays of B meson, supersymmetry and polarization, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 642 (2004), no. 3(25), 16-21.
[DK04c] S. A. Duplij and A. T. Kotvytskiy, Lagrangians in nonlinear multigravity models, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 642 (2004), no. 3(25), 123-127.
[Dup03] S. Duplij, On supermatrix idempotent operator semigroups, Linear Algebra Appl. 360 (2003), 59-81.
[DS03] S. Duplij and A. Sadovnikov, On the structure of quantum linear semigroup, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 601 (2003), no. 2(22), 32-40.
[DM03a] S. Duplij and W. Marcinek, Braid semistatistics and doubly regular R-matrix, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 601 (2003), no. 2(22), 75-80, arXiv:math.QA/0403343.
[DK03] S. A. Duplij and O. I. Kotulska, Quasideterminants, noncommutative determinants and noninvertible supermatrix structures, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 585 (2003), no. 1(21), 19-27.
[DD03] D. Duplij and S. Duplij, Determinative degree and nucleotide sequence analysis by trianders, Kharkov National Univ. preprint, arXiv:q-bio/0311014, Kharkov, 2003, 24 p.
[DM03b] S. Duplij and W. Marcinek, Toposes and categories in quantum theory and gravity, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 579 (2003), no. 4(20), 17-31.
[LD02] F. Li and S. Duplij, Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation, Commun. Math. Phys. 225 (2002), no. 1, 191-217, arXiv:math/0105064.
[BDD02] A. Borowiec, W. Dudek, and S. Duplij, On basic concepts of ternary Hopf algebras, Int. Conference on Clifford Algebras and their Applications in Mathematical Physics (Cookeville), Tennnessee Tech. Inst., 2002, p. 40.
[DL02] S. Duplij and F. Li, Hopf quivers, International Congress of Mathematicians (Bejing), Acad. Sinica, 2002, p. 214.
[DM02b] S. Duplij and W. Marcinek, Regular obstructed categories and TQFT, ITP preprint, arXiv:math.QA/0202216, Wroclaw, 2002, 22 p.
[DK02] S. A. Duplij and O. I. Kotulska, Supermatrix structures and generalized inverses, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 548 (2002), no. 1(17), 3-14.
[Dup02] S. Duplij, Coderivations and codifferential calculi on finite groups, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 559 (2002), no. 2(18), 16-24.
[DM02a] S. Duplij and W. Marcinek, Regular obstructed categories and topological quantum field theory, J. Math. Phys. 43 (2002), no. 6, 3329-3341.
[DS02] S. Duplij and A. Sadovnikov, Regular supermatrix solutions for quantum Yang-Baxter equation, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 569 (2002), no. 3(19), 15-22.
[DD01] D. Duplij and S. Duplij, Determinative degree and nucleotide content of DNA strands, Biophysical Bull. Kharkov Univ. 525 (2001), no. 1(8), 86-92.
[DW01] S. Duplij and J. Wess (eds.), Noncommutative structures in mathematics and physics, Kluwer, Dordrecht, 2001 (Springer 2001).
[DM01c] S. Duplij and W. Marcinek, Regular graded algebras and obstructed categories with duality, preprint, arXiv:math.QA/0107022, 2001, 13 p.
[Dup01a] S. Duplij, Semigroups of supermatrices and one-parameter idempotent superoperators, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 510 (2001), no. 1(13), 11-23.
[DF01] S. Duplij and A. Frydryszak, Supersymmetry, nontrivial fermionic shell and nilpotent mechanics, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 510 (2001), no. 1(13), 24-30.
[DM01a] S. Duplij and W. Marcinek, Noninvertibility, semisupermanifolds and categories regularization, Noncommutative Structures in Mathematics and Physics (Dordrecht) (S. Duplij and J. Wess, eds.), Kluwer, 2001, pp. 125-140, arXiv:math-ph/0012039.
[DL01a] S. Duplij and F. Li, On regular solutions of quantum Yang-Baxter equation and weak Hopf algebras, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 521 (2001), no. 2(14), 15-30.
[DM01b] S. Duplij and W. Marcinek, On regular superalgebras and obstructed categories, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 521 (2001), no. 2(14), 7-12.
[DM01d] S. Duplij and W. Marcinek, Semisupermanifolds and regularization of categories, modules, algebras and Yang-Baxter equation, Nucl. Phys. Proc. Suppl. 102 (2001), 293-297, Int. Conference on Supersymmetry and Quantum Field Theory: D.V. Volkov Memorial Conference, Kharkov, Ukraine, July 2000.
[DM01e] S. Duplij and W. Marcinek, Semisupermanifolds and regularization of categories, modules, algebras and Yang-Baxter equation, Supersymmetry and Quantum Field Theory (Amsterdam), Elsevier Science Publishers, 2001, pp. 110-115.
[BDD01] A. Borowiec, W. Dudek, and S. Duplij, Basic concepts of ternary Hopf algebras, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 529 (2001), no. 3(15), 21-29, arXiv:math.QA/0306208.
[Dup01b] S. Duplij, Ternary Hopf algebras, Symmetry in Nonlinear Mathematical Physics (Kiev) (A. G. Nikitin and V. M. Boyko, eds.), Institute of Mathematics, 2001, pp. 25-34.
[DL01b] S. Duplij and F. Li, Regular solutions of quantum Yang-Baxter equation from weak Hopf algebras, Czech. J. Phys. 51 (2001), no. 12, 1306-1311.
[DM00b] S. Duplij and W. Marcinek, On higher regularity and monoidal categories, Kharkov State University Journal (Vestnik KSU), ser. Nuclei, Particles and Fields 481 (2000), no. 2(10), 27-30.
[DC00] S. Duplij and M. Chursin, On structure of smooth semisupermanifolds, Kharkov State University Journal (Vestnik KSU), ser. Nuclei, Particles and Fields 481 (2000), no. 2(10), 22-26.
[DM00a] S. Duplij and W. Marcinek, Higher regularity properties of mappings and morphisms, Univ. Wroclaw preprint, IFT UWr 931/00, arXiv:math-ph/0005033, Wroclaw, 2000, 12 p.
[DD00b] D. Duplij and S. Duplij, Symmetry analysis of genetic code and determinative degree, Biophysical Bull. Kharkov Univ. 488 (2000), no. 1(6), 60-70.
[DDC00] D. Duplij, S. Duplij, and N. Chashchin, Symmetric properties of genetic code, Biopolymers and Cell 16 (2000), no. 6, 449-454.
[DD00c] D. Duplij and S. Duplij, Symmetry analysis of genetic code and determinative degree, Kharkov National Univ. preprint, arXiv:physics/0006062, Kharkov, 2000, 11 p.
[DM00c] S. Duplij and W. Marcinek, Semisupermanifolds and regularization of categories, Supersymmetric Structures in Mathematics and Physics (Kiev) (S. Duplij and V. G. Zima, eds.), UkrINTI, 2000, pp. 102-115.
[Dup00a] S. Duplij, On supermatrix idempotent operator semigroups, Kharkov National Univ. preprint, arXiv:math.FA/0006001, Kharkov, 2000, 11 p.
[BD+00] G. Bayatyan, ..., S. Duplij, ..., and et.al., CMS: the TriDAS project technical design report; v.1, the Trigger systems, CERN, Geneva, 2000.
[DD00a] D. Duplij and S. Duplij, Purine-pyrimidine symmetry, determinative degree and DNA, Kharkov National Univ. preprint, arXiv:physics/0008231, Kharkov, 2000, 8 p.
[DZ00] S. Duplij and V. G. Zima (eds.), Supersymmetric structures in mathematics and physics, UkrINTI, Kiev, 2000.
[Dup00c] S. Duplij, On TPT analogs of cocycles and deformations, Supersymmetries and Quantum Symmetries (Dubna) (E. Ivanov, S. Krivonos, and A. Pashnev, eds.), JINR, 2000, pp. 358-363.
[Dup00d] S. Duplij, Semisupermanifolds and semigroups, Krok, Kharkov, 2000.
[Dup00b] S. Duplij, On supermatrix operator semigroups, Quasigroups and Related Systems 7 (2000), no. 1, 71-98.
[Dup99b] S. Duplij, Semigroup methods in supersymmetric theories of elementary particles, Habilitation Thesis, Kharkov National University, Kharkov, 1999, arXiv:math-ph/9910045.
[Dup99c] S. Duplij, Superconformal-like twisting parity morphisms, deformations and odd cocycles, Kharkov State University Journal (Vestnik KSU), ser. Nuclei, Particles and Fields 453 (1999), no. 3(7), 3-8.
[Dup99a] S. Duplij, Noninvertibility and additional symmetries on hyperbic superplane, Kharkov State University Journal (Vestnik KSU), ser. Nuclei, Particles and Fields 463 (1999), no. 4(8), 3-6.
[Dup98a] S. Duplij, Nonlinear realization of N=1 superconformal-like transformations, Univ. Kaiserslautern preprint, KL-TH 98/02, Kaiserslautern, 1998, 15 p.
[AD98] V. P. Akulov and S. Duplij, Nilpotent marsh and SUSY QM, Supersymmetries and Quantum Symmetries (Heidelberg) (J. Wess and E. A. Ivanov, eds.), Springer-Verlag, 1998, pp. 235-242, arXiv:hep-th/9809089.
[ACD98] V. P. Akulov, V. V. Chitov, and S. Duplij, q-Differential calculus and deformed light-cone, Supersymmetry and Quantum Field Theory (Heidelberg) (J. Wess and V. P. Akulov, eds.), Springer-Verlag, 1998, pp. 317-320.
[Dup98c] S. Duplij, On superconformal-like transformations and their nonlinear realization, Supersymmetries and Quantum Symmetries (Heidelberg) (J. Wess and E. A. Ivanov, eds.), Springer-Verlag, 1998, pp. 243-251.
[Dup98b] S. Duplij, On semi-supermanifolds, Pure Math. Appl. 9 (1998), no. 3-4, 283-310.
[Dup98d] S. Duplij, Superconformal-like transformations and nonlinear realizations, Southwest J. Pure and Appl. Math. 2 (1998), 85-112.
[ADC98] V. P. Akulov, S. Duplij, and V. V. Chitov, Differential calculus for q-deformed twistors, Theor. Math. Phys. 115 (1998), 513-519, Teor. Mat. Fiz. 115 (1998) 177-184.
[Dup97c] S. Duplij, Some abstract properties of semigroups appearing in superconformal theories, Semigroup Forum 54 (1997), no. 2, 253-260, arXiv:hep-th/9505179.
[Dup97b] S. Duplij, Noninvertible N=1 superanalog of complex structure, J. Math. Phys. 38 (1997), no. 2, 1035-1040.
[ACD97] V. P. Akulov, V. V. Chitov, and S. Duplij, Differential calculus on q-deformed light-cone, Univ. Kaiserslautern preprint, KL-TH-97/1, arXiv:q-alg/9701026, Kaiserslautern, 1997, 8 p.
[Dup97a] S. Duplij, Continuous representations of semigroup bands by supermatrices, Int. L.M. Gluskin Algebraic Conference, Slovyansk (Kiev) (A. M. Samoilenko, ed.), Inst. Math., 1997, p. 30.
[Dup96a] S. Duplij, Ideal structure of superconformal semigroups, Theor. Math. Phys. 106 (1996), no. 3, 355-374.
[Dup96c] S. Duplij, On an alternative supermatrix reduction, Lett. Math. Phys. 37 (1996), no. 3, 385-396, arXiv:alg-geom/9506004.
[Dup96b] S. Duplij, Noninvertibility and ''semi-'' analogs of (super) manifolds, fiber bundles and homotopies, Univ. Kaiserslautern preprint, KL-TH-96/10, (Scanned version from KEK Library), arXiv:q-alg/9609022, Kaiserslautern, 1996, 30 p.
[Dup96d] S. Duplij, Supermatrix representations of semigroup bands, Pure Math. Appl. 7 (1996), no. 3-4, 235-261, arXiv:funct-an/9609002.
[Dup95a] S. Duplij, Ideal structure of superconformal semigroups, Univ. Kaiserslautern preprint, KL-TH 95/4, CERN-SCAN-9503192, Kaiserslautern, 1995, 50 p.
[Dup95b] S. Duplij, Second N=1 superanalog of complex structure, Kharkov Univ. preprint, arXiv:alg-geom/9506004, Kharkov, 1995, 30 p.
[Dup92] S. Duplij, Towards gauge principle for semigroups, Acta Phys. Pol. B23 (1992), no. 7, 733-743.
[Dup91b] S. Duplij, On semigroup nature of superconformal symmetry, J. Math. Phys. 32 (1991), no. 11, 2959-2965.
[Dup91a] S. Duplij, On N=4 super Riemann surfaces and superconformal semigroup, J. Phys. A24 (1991), no. 13, 3167-3179.
[Dup91c] S. Duplij, Types of N=2 superconformal transformations, Theor. Math. Phys. 86 (1991), no. 2, 138-143, Teor. Mat. Fiz. 86 (1991) 202-209.
[Dup90b] S. Duplij, On N=2 superconformal transformations, Probl. Nucl. Phys. Cosm. Rays 33 (1990), 22-38.
[Dup90a] S. Duplij, On N=1 superconformal invariance, Sov. J. Nucl. Phys. 52 (1990), no. 10, 742-745, Yad. Fiz. 52 (1990) 1169-1175.
[Dup90c] S. Duplij, Semigroup of N=1,2 superconformal transformations and conformal superfields, Acta Phys. Pol. B21 (1990), no. 10, 783-811.
[Dup88] S. Duplij, Nilpotent mechanics and supersymmetry, Probl. Nucl. Phys. Cosm. Rays 30 (1988), 41-49.
[AD88] V. P. Akulov and S. Duplij, Quasiclassical quantization in supersymmetric quantum mechanics, Ukrainian J. Phys. 33 (1988), no. 2, 309-311.
[Dup86] S. Duplij, Search for superpartners at high energy accelerators. part II., Probl. Nucl. Phys. Cosm. Rays 26 (1986), 1-22.
[Dup85] S. Duplij, Search for superpartners at high energy accelerators. part I., Probl. Nucl. Phys. Cosm. Rays 24 (1985), 82-96.

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1996 by Steven Duplij