Demazure Modules, Chari{Venkatesh Modules and Fusion Products ?

  title={Demazure Modules, Chari\{Venkatesh Modules and Fusion Products ?},
  author={B. Ravinder},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  • B. Ravinder
  • Published 1 September 2014
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
Let g be a finite-dimensional complex simple Lie algebra with highest root . Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1; ) with n copies of the adjoint representation ev0V ( ) 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… 

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