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

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
Pages35-63
Number of pages29
DOIs
StatePublished - 2013
Externally publishedYes

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume40

All Science Journal Classification (ASJC) codes

  • General Mathematics

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