Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras

Jakelic, Dijana; Moura, Adriano

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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.)

Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras

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Author(s):	Jakelic, Dijana ^[1] ; Moura, Adriano ^[2] Total Authors: 2
Affiliation:	^[1] Univ N Carolina, Dept Math & Stat, 601 S Coll Rd, Wilmington, NC 28401 - USA ^[2] Univ Estadual Campinas, Dept Math, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	ALGEBRAS AND REPRESENTATION THEORY; v. 21, n. 1, p. 239-258, FEB 2018.
Web of Science Citations:	0
Abstract
We express the multiplicities of the irreducible summands of certain tensor products of irreducible integrable modules for an affine Kac-Moody algebra over a simply laced Lie algebra as sums of multiplicities in appropriate excellent filtrations (Demazure flags). As an application, we obtain expressions for the outer multiplicities of tensor products of two fundamental modules for in terms of partitions with bounded parts, which subsequently lead to certain partition identities. (AU)

FAPESP's process:	14/09310-5 - Algebraic structures and their representations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Projects - Thematic Grants

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