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

Evgeny Feigin, Ghislain Fourier, Peter Littelmann*

*Corresponding author for this work

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


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
Number of pages29
ISBN (Print)9781447148623
StatePublished - 2013
Externally publishedYes

Publication series

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


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