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

2015/06/01 by Nanhua Xi, Xi, Nanhua · 1 citation
Mathematics · #20C08 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1506.00476

openalex publication_date 2015/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• A positivity property in the based ring of the lowest two-sided cell

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