The Lusztig cones of a quantized enveloping algebra of type A

Details The Lusztig cones of a quantized enveloping algebra of type A The Lusztig cones of a quantized enveloping algebra of type A

2000-08-03

arxiv.org/abs/math/0008035v2

Mathematics

Quantum Algebra

18 pages, 2 figures, uses pictex. Revised version to appear in Journal of Algebra Introduction extended and final proof improv

Scientific paper

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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