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Found 932 Documents (Results 1–100)

On nilpotent Lie algebras. (English) Zbl 1075.17500

Pitiş, Gheorghe (ed.) et al., Proceedings of the 4th international workshop on differential geometry, Braşov, Romania, September 16–22, 1999. Braşov: Transilvania University Press (ISBN 973-9474-68-3). 117-125 (2000).
MSC:  17B30 17B99
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Two-variable identities in groups and Lie algebras. (English. Russian original) Zbl 1069.20012

J. Math. Sci., New York 116, No. 1, 2972-2981 (2003); translation from Zap. Nauchn. Semin. POMI 272, 161-176 (2000).
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Gröbner-Shirshov bases: from their inception to the present time. (English. Russian original) Zbl 1069.16026

J. Math. Sci., New York 116, No. 1, 2894-2916 (2003); translation from Zap. Nauchn. Semin. POMI 272, 26-67 (2000).
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Automorphic orbits in free algebras of rank two. (English) Zbl 1056.17003

Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 126-132 (2000).
MSC:  17B01 17B50
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Combinatorial problems about free groups and algebras. (English) Zbl 1064.20025

Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 80-107 (2000).
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Canonization and standard bases on filtered structures. (English) Zbl 1060.16027

Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 61-79 (2000).
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The free partially commutative Lie superalgebra: elimination of variables. (English) Zbl 1057.17002

Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 32-48 (2000).
MSC:  17B01
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Free associative conformal algebras. (English) Zbl 1056.16020

Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 13-25 (2000).
MSC:  16S10 17B01 16W20
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Uniqueness of addition in Lie algebra \(\text{sl}_2\). (English) Zbl 1056.17008

Fong, Yuen (ed.) et al., Lie algebras, rings and related topics. Papers of the 2nd Tainan-Moscow international algebra workshop ’97, Tainan, Taiwan, January 11–17, 1997. Hong Kong: Springer (ISBN 962-430-110-7/pbk). 1-4 (2000).
MSC:  17B20
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Topology of bifurcation diagrams of integrable systems on semisimple Lie algebras. (English. Russian original) Zbl 1041.37029

Dokl. Math. 62, No. 3, 333-335 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 375, No. 2, 151-153 (2000).
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Infinite-dimensional groups applications to industrial problems. (English) Zbl 1039.22013

Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 1. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6597-6/hbk). Int. Soc. Anal. Appl. Comput. 7, 697-705 (2000).
MSC:  22E65 17B65 58B25
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On continuity properties of vertex operators. (English) Zbl 1058.17019

Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 1. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6597-6/hbk). Int. Soc. Anal. Appl. Comput. 7, 661-669 (2000).
MSC:  17B69
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Proof of the volume conjecture for torus knots. (English. Russian original) Zbl 1030.57021

J. Math. Sci., New York 115, No. 1, 2033-2036 (2003); translation from Zap. Nauchn. Semin. POMI 269, 262-268 (2000).
MSC:  57M27 11G55 17B37 57M25
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On the structure of coboundary \(R\)-matrices of classical series. (English. Russian original) Zbl 1046.16020

J. Math. Sci., New York 115, No. 1, 1994-2001 (2003); translation from Zap. Nauchn. Semin. POMI 269, 193-206 (2000).
MSC:  16W30 17B37
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Some basic properties of nonstandard deformations \(U_q^{\prime}(\text{so}_3), U_q^{\prime}(\text{so}_4)\). (English) Zbl 1029.17015

Doebner, H.-D. (ed.) et al., Trends in quantum mechanics. Proceedings of the international symposium on new insights in quantum physics fundamentals, experimental results and theoretical directions, Goslar, Germany, August 31-September 3, 1998. Singapore: World Scientific. 10-17 (2000).
MSC:  17B37 81R50 81R12
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Lévy processes on \(U_q({\mathfrak g})\). (English) Zbl 1159.60325

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11–14, 1999. Singapore: World Scientific (ISBN 981-02-4421-5/hbk). 280-292 (2000).
MSC:  60G51 17B37 81R50
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\(q\)-multilinear algebra. (English) Zbl 1006.17018

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 268-279 (2000).
MSC:  17B37 16W35
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Elliptic algebras and double Yangians: Deformed structures. (English) Zbl 1006.17017

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 253-267 (2000).
MSC:  17B37 81R50
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Fusion rings related to affine Weyl groups. (English) Zbl 1006.17020

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 237-249 (2000).
MSC:  17B67 81R50 81T40
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Bundles of chiral blocks and boundary conditions in CFT. (English) Zbl 1033.81072

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11–14, 1999. Singapore: World Scientific (ISBN 981-02-4421-5/hbk). 221-236 (2000).
MSC:  81T40 81R50 17B69
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Elements of a global operator approach to Wess-Zumino-Novikov-Witten models. (English) Zbl 1006.17023

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 204-220 (2000).
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Cohomologies of colour Leibniz algebras: Pre-simplicial approach. (English) Zbl 1006.17004

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 124-136 (2000).
MSC:  17A32 17B56
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Oscillator representations for the aperiodic Virasoro algebra and its planar generalization. (English) Zbl 1040.17024

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11–14, 1999. Singapore: World Scientific (ISBN 981-02-4421-5/hbk). 110-123 (2000).
MSC:  17B68 81R10
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Small weight modules of locally finite almost reductive Lie algebras. (English) Zbl 1006.17010

Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 3-26 (2000).
MSC:  17B10 17B70
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Algebras of invariant affinors of homogeneous spaces of the real simple Lie groups of the type \(A_l\) with regular isotropy subgroups. (English. Russian original) Zbl 1033.22004

Russ. Math. 44, No. 5, 38-48 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 5, 40-50 (2000).
MSC:  22E46 17B20 53C15
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Classification of extended affine root systems. (English) Zbl 1005.17017

Proceedings of the 31st Iranian mathematics conference, Tehran, Islamic Republic of Iran, August 27-30, 2000. Tehran: University of Tehran, 169-176 (2000).
MSC:  17B65
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On a connection between nilpotent groups and Lie rings. (Russian, English) Zbl 0993.20028

Sib. Mat. Zh. 41, No. 5, 1203-1218 (2000); translation in Sib. Math. J. 41, No. 5, 994-1004 (2000).
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