Demazure modules and perfect crystals. (English) Zbl 0908.17009
Authors’ abstract: We give a criterion for the Demazure crystal \(B_w(\lambda)\) defined by Kashiwara to have a tensor product structure. We study the \(\widehat{\mathfrak{sl}}_n\) symmetric tensor case, and see some Demazure characters are expressed using Kostka-Foulkes polynomials.
Reviewer: Stefano Capparelli (Roma)
MSC:
17B35 | Universal enveloping (super)algebras |
05E05 | Symmetric functions and generalizations |
17B37 | Quantum groups (quantized enveloping algebras) and related deformations |