%0 Journal Article %T The Lusztig cones of a quantized enveloping algebra of type A %A Robert Marsh %J Mathematics %D 2000 %I arXiv %X 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. %U http://arxiv.org/abs/math/0008035v2