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Found 126 Documents (Results 1–100)

Characters of representations of the quantum toroidal algebra \(\widehat{\widehat{\mathfrak{gl}}}_1\): plane partitions with “stands”. (English. Russian original) Zbl 1305.17015

Funct. Anal. Appl. 48, No. 1, 36-48 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 46-60 (2014).
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The quantum toroidal algebra \(\widehat{\widehat{\mathfrak{gl}_1}}\): calculation of characters of some representations as generating functions of plane partitions. (English. Russian original) Zbl 1282.17019

Funct. Anal. Appl. 47, No. 1, 50-61 (2013); translation from Funkts. Anal. Prilozh. 47, No. 1, 62-76 (2013).
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Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes. (English) Zbl 1307.14007

Iohara, Kenji (ed.) et al., Symmetries, integrable systems and representations. Proceedings of the conference on infinite analysis: frontier of integrability, Tokyo, Japan, July 25–29, 2011 and the conference on symmetries, integrable systems and representations, Lyon, France, December 13–16, 2011. London: Springer (ISBN 978-1-4471-4862-3/hbk; 978-1-4471-4863-0/ebook). Springer Proceedings in Mathematics & Statistics 40, 15-33 (2013).
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Principal \(\widehat{{\mathfrak{sl}}_3}\) subspaces and quantum Toda Hamiltonian. (English) Zbl 1206.17012

Miwa, Tetsuji (ed.) et al., Algebraic analysis and around in honor of Professor Masaki Kashiwara’s 60th birthday. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-51-8/hbk). Advanced Studies in Pure Mathematics 54, 109-166 (2009).
MSC:  17B37 17B65 81R12
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Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT. (English) Zbl 1177.17012

Theor. Math. Phys. 148, No. 3, 1210-1235 (2006); translation from Teor. Mat. Fiz. 148, No. 3, 398-427 (2006).
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Possible applications of the semi-infinite construction to integrable lattice models and the modular functor in CFT. (English) Zbl 1330.81114

Semikhatov, A. M. (ed.) et al., Quantization, gauge theory, and strings. Vol. I. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5–10, 2000. Moscow: Scientific World (ISBN 5-89176-125-4). 488-487 (2001).
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Semi-infinite realization of unitary representations of the \(N=2\) algebra and related constructions. (English. Russian original) Zbl 0998.81032

Theor. Math. Phys. 126, No. 1, 1-47 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 3-62 (2001).
MSC:  81R10 17B68 17B81
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Quantized moduli spaces of the bundles on the elliptic curve and their applications. (English) Zbl 1076.14520

Pakuliak, Stanislav (ed.) et al., Integrable structures of exactly solvable two-dimensional models of quantum field theory. Proceedings of the NATO Advanced Research workshop on dynamical symmetries of integrable quantum field theory and lattice models, Kiev, Ukraine, September 25–30, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7183-6). NATO Sci. Ser. II, Math. Phys. Chem. 35, 123-137 (2001).
MSC:  14H60 14D20 17B67
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On generalized Kostka polynomials and the quantum Verlinde rule. (English) Zbl 0974.17008

Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 194(44), 61-79 (1999).
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Integrable hierarchies and Wakimoto modules. (English) Zbl 0977.17020

Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 194(44), 27-60 (1999).
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Regular representation of affine Kac-Moody algebras. (English) Zbl 0919.17020

Boutet de Monvel, Anne (ed.) et al., Algebraic and geometric methods in mathematical physics. Proceedings of the 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, September 1-14, 1993. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 19, 415-424 (1996).
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Integrals of motion and quantum groups. (English) Zbl 0885.58034

Francaviglia, M. (ed.) et al., Integrable systems and quantum groups. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 14-22, 1993. Berlin: Springer-Verlag. Lect. Notes Math. 1620, 349-418 (1996).
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Cohomology of nilpotent subalgebras of the algebra \(\widehat{sl_2}\). (English. Russian original) Zbl 0901.17014

Funct. Anal. Appl. 30, No. 4, 285-287 (1996); translation from Funkts. Anal. Prilozh. 30, No. 4, 80-83 (1996).
MSC:  17B56 17B65
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Functional models of the representations of current algebras and semi-infinite Schubert cells. (English. Russian original) Zbl 0905.17030

Funct. Anal. Appl. 28, No. 1, 55-72 (1994); translation from Funkts. Anal. Prilozh. 28, No. 1, 68-90 (1994).
MSC:  17B67 81R10
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A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space of \(G\)-bundles. (English. Russian original) Zbl 0857.17021

Funct. Anal. Appl. 28, No. 4, 257-275 (1994); translation from Funkts. Anal. Prilozh. 28, No. 4, 42-65 (1994).
MSC:  17B67 22E67 81R10
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Differential operators on the moduli space of \(G\)-bundles on algebraic curve and Lie algebra cohomologies. (English) Zbl 0777.17015

Special functions, Proc. Hayashibara Forum, Okayama/Jap. 1990, ICM-90 Satell. Conf. Proc., 90-103 (1991).
MSC:  17B56 14H60
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Cohomologies of Lie groups and Lie algebras. (English. Russian original) Zbl 0931.17014

Lie groups and Lie algebras II. Encycl. Math. Sci. 21, 125-215 (2000); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. Fundam. Napavleniya 21, 121-209 (1988).
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Additive \(K\)-theory and crystalline cohomology. (English. Russian original) Zbl 0585.18007

Funct. Anal. Appl. 19, 124-132 (1985); translation from Funkts. Anal. Prilozh. 19, No. 2, 52-62 (1985).
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