Let k be a field and q a nonzero element in k such that the square roots of q are in k. We use Hq to denote an affne Hecke algebra over k of type G2 with parameter q. The purpose of this paper is to study representations of Hq by using based rings of two-sided cells of an affne Weyl group W of type G2. We shall give the classification of irreducible representations of Hq. We also remark that a calculation in [11] actually shows that Theorem 2 in [1] needs a modification, a fact is known to Grojnowski and Tanisaki long time ago. In this paper we also show an interesting relation between Hq and an Hecke algebra corresponding to a certain Coxeter group. Apparently the idea in this paper works for all affne Weyl groups, but that is the theme of another paper.
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机译:巴西公立大学教授道德骚扰巴西公立大学教授道德骚扰巴西公立大学教授道德骚扰巴西公立大学教师道德ent superior superior superior superior superior superior superior superior superior superior superior Bras Bras Bras Bras Bras Bras Bras Bras Bras Bras Bras Bras Bras univers univers univers univers univers univers univers