Universität zu Köln

Fourier, Ghislain (2015). NEW HOMOGENEOUS IDEALS FOR CURRENT ALGEBRAS: FILTRATIONS, FUSION PRODUCTS AND PIERI RULES. Mosc. Math. J., 15 (1). S. 49 - 73. MOSCOW: INDEPENDENT UNIV MOSCOW-IUM. ISSN 1609-4514

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Abstract

New graded modules for the current algebra of sl(n), are introduced. Relating these modules to the fusion product of simple sl(n)-nodules and local Weyl modules of truncated current algebras shows their expected impact on several outstanding conjectures. We further generalize results oil PBW filtrations of simple sl(n)-modules and use them to provide decomposition formulas for these new modules in important cases.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-416619
DOI:	10.17323/1609-4514-2015-15-1-49-72
Journal or Publication Title:	Mosc. Math. J.
Volume:	15
Number:	1
Page Range:	S. 49 - 73
Date:	2015
Publisher:	INDEPENDENT UNIV MOSCOW-IUM
Place of Publication:	MOSCOW
ISSN:	1609-4514
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE-DIMENSIONAL REPRESENTATIONS; LITTLEWOOD-RICHARDSON RULE; DEMAZURE MODULES; WEYL MODULES; TENSOR-PRODUCTS; CHARACTERS; CRYSTALS Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41661