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

Yuanqing Cai

doi:10.1016/j.jnt.2020.01.006

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arXiv · 1805.11552

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

Yuanqing Cai

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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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BibTeX RIS

Yuanqing Cai. 2020-01-30. On the crystal graph description of the stable Weyl group multiple Dirichlet series. https://doi.org/10.1016/j.jnt.2020.01.006

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