Results 1 
3 of
3
TWISTED DEMAZURE MODULES, FUSION PRODUCT DECOMPOSITION AND TWISTED Q–SYSTEMS
"... ar ..."
(Show Context)
Demazure Modules, Chari–Venkatesh Modules and Fusion Products?
"... Abstract. Let g be a finitedimensional complex simple Lie algebra with highest root θ. Given two nonnegative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1, θ) with n copies of the adjoint representation ev0 V (θ) is independent of the parameters a ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
Abstract. Let g be a finitedimensional complex simple Lie algebra with highest root θ. Given two nonnegative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1, θ) with n copies of the adjoint representation ev0 V (θ) is independent of the parameters and we give explicit defining relations. As a consequence, for g simply laced, we show that the fusion product of a special family of Chari–Venkatesh modules is again a Chari–Venkatesh module. We also get a description of the truncated Weyl module associated to a multiple of θ.