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arXiv · 1003.4817

Some multiplication formulas in an affine Hecke algebra

Liping Wang
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Abstract

In this paper we consider the Hecke algebra $\mathcal {H}$ associated to an extended affine Weyl group of type $\widetilde{B_2}$. We give some interesting formulas on $C_{rt}S_λ$, which imply some relations between the Kazhdan-Lusztig coefficients $μ(y,w)$ and representations of some algebraic groups. Here $C_{rt}$ is one element in the Kazhdan-Lusztig basis of $\mathcal {H}$ and $S_λ$ is an element in the center of $\mathcal {H}$.

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BibTeXRIS

Liping Wang. 2010-03-26. Some multiplication formulas in an affine Hecke algebra. https://arxiv.org/abs/1003.4817

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