Realization of locally extended affine Lie algebras of type A_1
Publish Year: 1395
Type: Journal paper
Language: English
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JR_CGASAT-5-1_006
Index date: 14 September 2021
Realization of locally extended affine Lie algebras of type A_1 abstract
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight vectors corresponding to nonisotropic roots modulo its centre. In this paper, in order to realize locally extended affine Lie algebras of type A_1, using the notion of Tits-Kantor-Koecher construction, we construct some Lie algebras which are isomorphic to the centerless cores of these algebras.
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Realization of locally extended affine Lie algebras of type A_1 authors
Gholamreza Behboodi
Department of Mathematics, University of Isfahan, Isfahan, Iran, P.O.Box: ۸۱۷۴۵-۱۶۳ and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: ۱۹۳۹۵-۵۷۴۶.
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