Pbw-filtration over z and compatible bases for vℤ(λ) in type an and cn

Evgeny Feigin, Ghislain Fourier, Peter Littelmann

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Citations (Scopus)

Abstract

We study the PBW-filtration on the highest weight representations V (λ) of the Lie algebras of type An and Cn. This filtration is induced by the standard degree filtration on U(n-). In previous papers, the authors studied the filtration and the associated graded algebras and modules over the complex numbers. The aim of this paper is to present a proof of the results which holds over the integers and hence makes the whole construction available over any field.

Original languageEnglish
Title of host publicationSymmetries, Integrable Systems and Representations
PublisherSpringer New York LLC
Pages35-63
Number of pages29
ISBN (Print)9781447148623
DOIs
Publication statusPublished - 2013
Externally publishedYes

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume40
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

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