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math.QA2000
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type
Nanhua XI
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type .
math.QA1998
Monomial Bases of Quantized Enveloping Algebras
Vyjayanthi Chari, Nanhua Xi
We construct a monomial basis of the positive part of the quantized enveloping algebra associated to a finite-dimensional simple Lie algebra. As an application we give a simple pro…