Universität zu Köln

Schumann, Bea and Torres, Jacinta (2018). A non-levi branching rule in terms of Littelmann paths. Proc. London Math. Soc., 117. S. 1077 - 1101. HOBOKEN: WILEY. ISSN 1460-244X

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Abstract

We prove a conjecture of Naito-Sagaki about a branching rule for the restriction of irreducible representations of sl(2n,C) to sp(2n,C). The conjecture is in terms of certain Littelmann paths, with the embedding given by the folding of the type A2n-1 Dynkin diagram. So far, the only known non-Levi branching rules in terms of Littelmann paths are the diagonal embeddings of Lie algebras in their product yielding the tensor product multiplicities.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Schumann, Bea UNSPECIFIED UNSPECIFIED UNSPECIFIED Torres, Jacinta UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-167731
DOI:	10.1112/plms.12175
Journal or Publication Title:	Proc. London Math. Soc.
Volume:	117
Page Range:	S. 1077 - 1101
Date:	2018
Publisher:	WILEY
Place of Publication:	HOBOKEN
ISSN:	1460-244X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LITTLEWOOD-RICHARDSON RULE Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/16773