English

Level zero fundamental representations over quantized affine algebras and Demazure modules

Quantum Algebra 2015-12-22 v1

Abstract

We show that the finite-dimensional fundamental module over a quantized affine algebra is isomorphic to a Demazure module of a higest weight module of level one as a module over a quantized classical universal enveloping algebra.

Keywords

Cite

@article{arxiv.math/0309142,
  title  = {Level zero fundamental representations over quantized affine algebras and Demazure modules},
  author = {Masaki Kashiwara},
  journal= {arXiv preprint arXiv:math/0309142},
  year   = {2015}
}

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21 pages