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The Lusztig cones of a quantized enveloping algebra of type A

Bethany Marsh
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Abstract

We show that for each reduced expression for the longest word in the Weyl group of type A_n, the corresponding cone arising in Lusztig's description of the canonical basis in terms of tight monomials is simplicial, and construct explicit spanning vectors.

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BibTeXRIS

Bethany Marsh. 2001-05-29. The Lusztig cones of a quantized enveloping algebra of type A. https://arxiv.org/abs/math/0008035

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