标题： 关于一般仿射Hecke代数的中心 显示英文标题

标题： On the center of the generic affine Hecke algebra

摘要： 我们将通用仿射Hecke代数$H_q$的中心与它的权格的主锥的半群代数$\mathbb C[q][\check X^+]$联系起来。 这是通过首先将一个极大交换子代数$A_q \subset H_q$与由长度函数诱导的权格的半群代数的Rees代数进行识别来完成的。 我们解释了这个子代数$A_q$也可以与由对应于余根格的扇形给出的环面簇的（量子）上同调进行识别（一个Hessenberg流形）。 显示英文摘要

摘要： We identify the center of the generic affine Hecke algebra $H_q$ corresponding to some root datum with the semigroup algebra $\mathbb C[q][\check X^+]$ of the dominant chamber of its coweight lattice. This is done by first identifying a maximal commutative subalgebra $A_q \subset H_q$ with the Rees algebra associated to the semigroup algebra of the coweight lattice for the filtration induced by the length function. We explain how this subalgebra $A_q$ can also be identified with (quantum) cohomology of the toric variety given by the fan corresponding to the coroot lattice (a Hessenberg variety).