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}
}
  • R. Venkatesh
  • Published 9 November 2013
  • Mathematics
  • Algebras and Representation Theory
Let 𝔤 be a finite–dimensional complex simple Lie algebra. Given a non–negative integer ℓ, we define 𝓟ℓ+$\mathcal {P}^{+}_{\ell }$ to be the set of dominant weights λ of 𝔤 such that ℓΛ0+λ is a dominant weight for the corresponding untwisted affine Kac–Moody algebra 𝔤̂$\widehat {{\mathfrak {g}}}$. For the current algebra 𝔤[t] associated to 𝔤, we show that the fusion product of an irreducible 𝔤–module V(λ) such that λ∈𝓟ℓ+$\lambda \in \mathcal {P}^{+}_{\ell }$ and a finite number of special… 

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