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Found 125 Documents (Results 1–100)

Integrable spin chains and representation theory. (English) Zbl 1297.81167

Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 487-492 (2013).
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Quantum algebras with representation ring of \(\mathfrak{sl}_2\) type. (English. Russian original) Zbl 1288.81059

J. Math. Sci., New York 151, No. 2, 2894-2900 (2008); translation from Zap. Nauchn. Semin. POMI 347, 167-177 (2007).
MSC:  81R50 81U15 81U40
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Dynamical reflection equation. (English) Zbl 1144.17011

Etingof, Pavel (ed.) et al., Israel mathematical conference proceedings. Quantum groups. Proceedings of a conference in memory of Joseph Donin, Haifa, Israel, July 5–12, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3713-9/pbk). Contemporary Mathematics 433, 281-309 (2007).
MSC:  17B37 81R50
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Noncommutative geometry and quantum field theory. (English) Zbl 1220.81170

Fuchs, Jürgen (ed.) et al., Noncommutative geometry and representation theory in mathematical physics. Satellite conference to the fourth European congress of mathematics, July 5–10, 2004, Karlstad, Sweden. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3718-4/pbk). Contemporary Mathematics 391, 213-221 (2005).
MSC:  81T75 17B37 81R50
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Spin chain connected to the quantum superalgebra \(\text{sl}_q(1| 1)\). (Russian, English) Zbl 1082.17009

Zap. Nauchn. Semin. POMI 325, 146-162 (2005); translation in J. Math. Sci., New York 138, No. 3, 5711-5721 (2006).
MSC:  17B37 81R50 82B20
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Infinite dimensional algebras and quantum integrable systems. Papers from the 14th international congress on mathematical physics satellite workshop, Faro, Portugal, July 21–25, 2003. (English) Zbl 1076.37001

Progress in Mathematics 237. Basel: Birkhäuser (ISBN 3-7643-7215-X/hbk). viii, 263 p. (2005).
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Full chains of twists for symplectic algebras. (English. Russian original) Zbl 1036.17011

St. Petersbg. Math. J. 14, No. 3, 385-404 (2003); translation from Algebra Anal. 14, No. 3, 27-54 (2002).
MSC:  17B35 17B37 81R25 16W30
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Quantum groups and integrable models. (English) Zbl 1064.81515

Gohberg, Israel (ed.) et al., Factorization and integrable systems. Lecture notes of the summer school, Faro, Portugal, September 2000. Basel: Birkhäuser (ISBN 3-7643-6938-8/hbk). Oper. Theory, Adv. Appl. 141, 131-154 (2003).
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Spin Hamiltonians, quantum groups and reaction-diffusion processes. (English) Zbl 1048.81036

Olshanetsky, M. et al., Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific (ISBN 981-238-072-8/hbk). 310-319 (2002).
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Gaussian decomposition of quantum groups and a model of discrete dynamics. (English. Russian original) Zbl 0981.81038

J. Math. Sci., New York 104, No. 3, 1151-1156 (2001); translation from Zap. Nauchn. Semin. POMI 251, 105-114 (1998).
MSC:  81R50 81R12
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Symmetries connected with Yang-Baxter and reflection equations. (English. Russian original) Zbl 1092.82013

J. Math. Sci., New York 115, No. 1, 1986-1993 (2003); translation from Zap. Nauchn. Semin. POMI 269, 180-192 (2000).
MSC:  82B23 81R50
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Twisting of quantum groups and integrable systems. (English) Zbl 0965.35139

Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 304-310 (2000).
MSC:  35Q40 81R50 37K15
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Twist-related geometries on \(q\)-Minkowski space. (English. Russian original) Zbl 0982.81026

Proc. Steklov Inst. Math. 226, 86-99 (1999); translation from Tr. Mat. Inst. Steklova 226, 97-111 (1999).
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Problems in quantum field theory and statistical physics. 15. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 15. Sbornik rabot.) (Russian) Zbl 0967.00041

Zapiski Nauchnykh Seminarov POMI. 251. Sankt-Peterburg: Nauka, 267 p. (1998).
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Problems in quantum field theory and statistical physics. 14. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 14. Sbornik rabot.) (Russian, English. English summary) Zbl 0886.00014

Zapiski Nauchnykh Seminarov POMI. 245. Sankt-Peterburg: Matematicheskij Institut Im. V. A. Steklova, Sankt-Peterburgskoe Otdelenie, RAN, 288 p. (1997).
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Quantum group covariant systems. (English) Zbl 1058.81556

Jancewicz, B. (ed.) et al., From field theory to quantum groups.
Birthday volume dedicated to Jerzy Lukierski. Singapore: World Scientific (ISBN 981-02-2544-X). 99-111 (1996).
MSC:  81R50 17B37
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Yang-Baxter equation and reflection equations in integrable models. (English) Zbl 0879.58033

Grosse, Harald (ed.) et al., Low-dimensional models in statistical physics and quantum field theory. Proceedings of the 34. Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, March 4-11, 1995. Berlin: Springer-Verlag. Lect. Notes Phys. 469, 125-144 (1996).
Reviewer: G.Zet (Iaşi)
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Problems in quantum field theory and statistical physics. 13. Work collection. Dedicated to the memory of V. N. Popov. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 13. Sbornik rabot. Posvyashaetsya pamyati V. N. Popova.) (Russian, English) Zbl 0868.00027

Zapiski Nauchnykh Seminarov POMI. 224. Sankt-Peterburg: Nauka. 347 p. (1995).
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Problems in quantum field theory and statistical physics. 12. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 12. Sbornik rabot.) (Russian, English. English summary) Zbl 0842.00025

Zapiski Nauchnykh Seminarov POMI. 209. Sankt-Peterburg: Nauka. 265 p. (1994).
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Problems in quantum field theory and statistical physics. 11. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 11. Sbornik rabot.) (Russian) Zbl 0842.00024

Zapiski Nauchnykh Seminarov POMI. 199. Sankt-Peterburg: Nauka, 188 p. (1992).
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Quantum groups. Proceedings of workshops, held in the Euler International Mathematical Institute, Leningrad, USSR, Fall 1990. (English) Zbl 0741.00068

Lecture Notes in Mathematics. 1510. Berlin etc.: Springer-Verlag. xii, 398 p. (1992).
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Problems in quantum field theory and statistical physics. 10. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 10. Sbornik rabot.) (Russian. English summary) Zbl 0719.00026

Zapiski Nauchnykh Seminarov LOMI, 189. Leningrad: Nauka. 184 p. R. 2.40 (1991).
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Applications of deformed oscillators. (English. Russian original) Zbl 0783.17004

J. Sov. Math. 62, No. 5, 2963-2986 (1992); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 189, 37-74 (1991).
MSC:  17B37 81R50
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Problems in quantum field theory and statistical physics. 9. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 9. Sbornik rabot.) (Russian) Zbl 0698.00040

Zapiski Nauchnykh Seminarov LOMI, 180. Leningrad: Nauka. 183 p. R. 1.90 (1990).
MSC:  00Bxx 81-06 82-06
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Scattering data for the nonstationary Dirac equation. (English. Russian original) Zbl 0693.35148

J. Sov. Math. 47, No. 2, 2488-2492 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 170-175 (1987).
MSC:  35Q99 81U99 35P25
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Problems in quantum field theory and statistical physics. 8. Work collection. (Voprosy kvantovoj teorii polya i statisticheskoj fiziki. 8. Sbornik rabot.) (Russian) Zbl 0645.00010

Zapiski Nauchnykh Seminarov LOMI, 169. Leningrad: Nauka. 191 p. R 1.70 (1988).
MSC:  00Bxx 81-06 82-06
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