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Structure of parabolically induced modules for affine Kac-Moody algebras

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Author(s):
Futorny, Vyacheslav ; Kashuba, Iryna
Total Authors: 2
Document type: Journal article
Source: Journal of Algebra; v. 500, p. 13-pg., 2018-04-15.
Abstract

The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a construction of many new irreducible modules. (C) 2017 Published by Elsevier Inc. (AU)

FAPESP's process: 16/08740-1 - Representations of non-associative algebras and superalgebras
Grantee:Iryna Kashuba
Support Opportunities: Regular Research Grants
FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants