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The based ring of the lowest two-sided cell of an affine Weyl group, III (1506.00476v1)
Published 1 Jun 2015 in math.RT
Abstract: We show that Lusztig's homomorphism from an affine Hecke algebra to the direct summand of its asymptotic Hecke algebra corresponding to the lowest two-sided cell is related to the homomorphism constructed by Chriss and Ginzburg using equivariant K-theory by a matrix over the representation ring of the associated algebraic group.
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