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arXiv · 1506.00476

The based ring of the lowest two-sided cell of an affine Weyl group, III

Nanhua Xi
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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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Nanhua Xi. 2015-06-01. The based ring of the lowest two-sided cell of an affine Weyl group, III. https://arxiv.org/abs/1506.00476

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