Feigin, E., Fourier, G. and Littelmann, P. (2011) PBW filtration and bases for irreducible modules in type An. Transformation Groups, 16(1), pp. 71-89. (doi: 10.1007/s00031-010-9115-4)
Full text not currently available from Enlighten.
Abstract
We study the PBW filtration on the highest weight representations V(λ) of sl n+1 . This filtration is induced by the standard degree filtration on U(n −) . We give a description of the associated graded S(n −) -module gr V(λ) in terms of generators and relations. We also construct a basis of gr V(λ). As an application we derive a graded combinatorial character formula for V(λ), and we obtain a new class of bases of the modules V(λ) conjectured by Vinberg in 2005.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
Authors: | Feigin, E., Fourier, G., and Littelmann, P. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Transformation Groups |
ISSN: | 1083-4362 |
ISSN (Online): | 1531-586X |
University Staff: Request a correction | Enlighten Editors: Update this record