# Fusion Product Structure of Demazure Modules

@article{Venkatesh2013FusionPS, title={Fusion Product Structure of Demazure Modules}, author={R. Venkatesh}, journal={Algebras and Representation Theory}, year={2013}, volume={18}, pages={307-321} }

Let š¤ be a finiteādimensional complex simple Lie algebra. Given a nonānegative integer ā, we define šā+$\mathcal {P}^{+}_{\ell }$ to be the set of dominant weights Ī» of š¤ such that āĪ0+Ī» is a dominant weight for the corresponding untwisted affine KacāMoody algebra š¤Ģ$\widehat {{\mathfrak {g}}}$. For the current algebra š¤[t] associated to š¤, we show that the fusion product of an irreducible š¤āmodule V(Ī») such that Ī»āšā+$\lambda \in \mathcal {P}^{+}_{\ell }$ and a finite number of specialā¦Ā

## 10 Citations

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