Results 111 to 120 of about 247 (140)
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Journal of Algebra, 2021
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Yan-an Cai, Rencai Lü, Yan Wang
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Yan-an Cai, Rencai Lü, Yan Wang
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KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
International Journal of Modern Physics A, 1986This article represents a very substantial review of Kac-Moody and Virasoro algebras and their application to a variety of problems in quantum physics. In these applications highest weight irreducible unitary representations are required and the authors discuss the crucial matter of the values taken in these representations by the central elements in ...
Goddard, Peter, Olive, David
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RELATIONS BETWEEN VIRASORO ALGEBRA AND KRICHEVER-NOVIKOV ALGEBRA ON A TORUS
Modern Physics Letters A, 1989Relations between Virasoro algebra and Krichever-Novikov (KN) algebra are investigated on a torus. Generators of the KN algebra are shown to be expressed by linear combinations of those of the Virasoro algebra. We also study the current algebra, which allows us to define the Krichever-Novikov-Kac-Moody (KNKM) algebra on the torus.
REIJIRO KUBO +2 more
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Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras
International Journal of Mathematics, 2014In this paper, the Lie bialgebra structures on a class of not-finitely graded Lie algebras related to generalized Virasoro algebras Ŵ are considered. We prove that all Lie bialgebras on Ŵ are coboundary triangular.
Chen, Qiufan, Han, Jianzhi, Su, Yucai
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Frontiers of Mathematics in China, 2020
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Zhang, Zhuo, Yuan, Jixia, Tang, Xiaomin
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Zhang, Zhuo, Yuan, Jixia, Tang, Xiaomin
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Physics Letters A, 1988
Abstract We show that a class of integrable nonlinear differential equations in 2+1 dimensions, including the physically important cylindrical Kadomtsev-Petviashvili equation, has a symmetry algebra with a specific Kac-Moody-Virasoro structure. The isomorphism between this algebra and the symmetry algebra of the KP equation, is used to transform the ...
LEVI, Decio, WINTERNITZ P.
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Abstract We show that a class of integrable nonlinear differential equations in 2+1 dimensions, including the physically important cylindrical Kadomtsev-Petviashvili equation, has a symmetry algebra with a specific Kac-Moody-Virasoro structure. The isomorphism between this algebra and the symmetry algebra of the KP equation, is used to transform the ...
LEVI, Decio, WINTERNITZ P.
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International Journal of Modern Physics A, 1992
We have obtained the Backlund transformation and symmetry generators for the cylindrically symmetric self-dual Yang–Mills equation through a gauge transformation ∈ SL(2, c). It is shown that there exists a subclass of transformations which generate a Virasoro algebra under commutation.
Roy Chowdhury, A., Sen, D. C.
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We have obtained the Backlund transformation and symmetry generators for the cylindrically symmetric self-dual Yang–Mills equation through a gauge transformation ∈ SL(2, c). It is shown that there exists a subclass of transformations which generate a Virasoro algebra under commutation.
Roy Chowdhury, A., Sen, D. C.
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Two $$\mathbb {Z}$$-Graded Infinite Lie Conformal Algebras Related to the Virasoro Conformal Algebra
Algebras and Representation TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoqing Yue, Shun Zou
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Representations of the
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Permutation orbifolds of Virasoro vertex algebras and -algebras
Journal of Algebra, 2021Christopher Sadowski +2 more
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