1. R\'eflexions dans un cristal
- Author
-
Baumann, Pierre, Gaussent, Stéphane, and Kamnitzer, Joel
- Subjects
Mathematics - Representation Theory ,Mathematics - Quantum Algebra ,17B10 (Primary) 17B37, 17B67, 05E10 (Secondary) - Abstract
Let g = n^- + h + n^+ be a symmetrizable Kac-Moody algebra. Let B(\infty) be the Kashiwara crystal of U_q(n^-), let \lambda be a dominant integral weight, let T_\lambda = {t_\lambda} be the crystal with one element of weight \lambda, and let B(\lambda) \subset B(\infty) \otimes T_\lambda be the crystal of the integrable representation of highest weight \lambda. We compute the descending string parameters of an element b \otimes t_\lambda in B(\lambda) in terms of the Lusztig parameters of b., Comment: 4 pages; in French
- Published
- 2012