摘要

By a result of Mathas, the basis element T-w0 of the Hecke algebra of a finite Coxeter group acts in the canonical basis of a cell module as a permutation matrix times plus or minus a power of v. We generalize this result to the unequal parameter case. We also show that the image of T-w0 in the corresponding asymptotic Hecke algebra is given by a simple formula.

  • 出版日期2015-12
  • 单位MIT