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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.)

FREE FIELD REALIZATIONS OF INDUCED MODULES FOR AFFINE LIE ALGEBRAS

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Author(s):
Kashuba, Iryna [1] ; Martins, Renato A. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 42, n. 6, p. 2428-2441, JUN 3 2014.
Web of Science Citations: 1
Abstract

We construct a free field realization of generalized loop modules induced from admissible diagonal Z-graded irreducible modules of nonzero level for a Heisenberg subalgebra of untwisted affine Lie algebra of type A. Such generalized loop modules are irreducible as it was shown in Bekkert et al. {[}2]. We also extend this construction to modules induced from an arbitrary parabolic subalgebra of (sl) over cap (n) whose Levi factor is infinite-dimensional and contains (sl) over cap (k). (AU)

FAPESP's process: 12/02459-8 - Vertex constructions in representation theory of infinite dimensional Lie algebra.
Grantee:Renato Alessandro Martins
Support Opportunities: Scholarships in Brazil - Post-Doctoral