REPRESENTATIONS OF LOOP KAC-MOODY LIE ALGEBRAS

Rao, S. Eswara; Futorny, Vyacheslav

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

REPRESENTATIONS OF LOOP KAC-MOODY LIE ALGEBRAS

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Author(s):	Rao, S. Eswara ^[1] ; Futorny, Vyacheslav ^[2] Total Authors: 2
Affiliation:	^[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra - India ^[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	COMMUNICATIONS IN ALGEBRA; v. 41, n. 10, p. 3775-3792, OCT 3 2013.
Web of Science Citations:	3
Abstract
We study representations of the Loop Kac-Moody Lie algebra ? circle times A, where ? is any Kac-Moody algebra and A is a ring of Laurent polynomials in n commuting variables. In particular, we study representations with finite dimensional weight spaces and their graded versions. When we specialize ? to be a finite dimensional or affine Lie algebra we obtain modules for toroidal Lie algebras. (AU)

FAPESP's process:	10/50347-9 - Algebras, representations e applications
Grantee:	Ivan Chestakov
Support Opportunities:	Research Projects - Thematic Grants

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