Skip to main content
Open Access Publications from the University of California

UC Riverside

UC Riverside Electronic Theses and Dissertations bannerUC Riverside

Generalized Demazure Modules with Level Two Filtrations


We study generalized Demazure modules over the current algebra $\lie{g} \otimes \mathbb{C}[t]$; or equivalently over the maximal standard parabolic subalgebra in the affine Lie algebra $\widehat{\lie g}$, where $\lie g$ is a finite dimensional complex simple Lie algebra of Type $B$ or $C$. More specifically, for a certain family of pairs of weights, we study generalized Demazure modules as submodules in a tensor product of level one Demazure modules. We give a presentation of these modules, and in the process give an algorithm for computing their graded characters in terms of level two Demazure modules.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View