DEMAZURE CHARACTER FORMULAS FOR GENERALIZED KAC-MOODY ALGEBRAS

作者：Ishii Motohiro^*

来源：Communications in Algebra, 2015, 43(7): 2785-2801.

DOI：10.1080/00927872.2014.904327

• Crystal
• Demazure character formula
• Demazure module
• Generalized Kac-Moody algebra
• Path model

We introduce a family of U-q(+) (g)-submodules V-w(lambda) of the irreducible highest weight U-q(g)- module V(lambda) of dominant integral highest weight lambda for a generalized Kac-Moody algebra g. We prove that the module V-w(lambda) is spanned by its global basis, and then give a character formula for V-w(lambda), which generalizes the Demazure character formula for ordinary Kac- Moody algebras.

• 出版日期2015