Universität zu Köln

Backhaus, Teodor and Desczyk, Christian (2015). PBW Filtration: Feigin-Fourier-Littelmann Modules Via Hasse Diagrams. J. Lie Theory, 25 (3). S. 815 - 857. LEMGO: HELDERMANN VERLAG. ISSN 0949-5932

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Abstract

We study the PBW filtration on the irreducible highest weight representations of simple complex finite-dimensional Lie algebras. This filtration is induced by the standard degree filtration on the universal enveloping algebra. For certain rectangular weights we provide a new description of the associated graded module in terms of generators and relations. We also construct a basis parametrized by the integer points of a normal polytope. The main tool we use is the Hasse diagram defined via the standard partial order on the positive roots. As an application we conclude that all representations considered in this paper are Feigin-Fourier-Littelmann modules.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Backhaus, Teodor UNSPECIFIED UNSPECIFIED UNSPECIFIED Desczyk, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-415937
Journal or Publication Title:	J. Lie Theory
Volume:	25
Number:	3
Page Range:	S. 815 - 857
Date:	2015
Publisher:	HELDERMANN VERLAG
Place of Publication:	LEMGO
ISSN:	0949-5932
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SCHUBERT VARIETIES; FLAG VARIETIES; DEGENERATE Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41593