English

On the crystal graph description of the stable Weyl group multiple Dirichlet series

Representation Theory 2021-11-08 v2 Combinatorics Group Theory Number Theory

Abstract

For a semisimple Lie algebra admitting a good enumeration, we prove a parametrization for the elements in its Weyl group. As an application, we give a coordinate-free comparison between the crystal graph description (when it is known) and the Lie-theoretic description of the Weyl group multiple Dirichlet series in the stable range.

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Cite

@article{arxiv.1805.11552,
  title  = {On the crystal graph description of the stable Weyl group multiple Dirichlet series},
  author = {Yuanqing Cai},
  journal= {arXiv preprint arXiv:1805.11552},
  year   = {2021}
}

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