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Affine Hecke algebra : ウィキペディア英語版 | Affine Hecke algebra In mathematics, an affine Hecke algebra is the Hecke algebra of an affine Weyl group, and can be used to prove Macdonald's constant term conjecture for Macdonald polynomials. ==Definition== Let be a Euclidean space of a finite dimension and an affine root system on . An affine Hecke algebra is a certain associative algebra that deforms the group algebra of the Weyl group of (the affine Weyl group). It is usually denoted by , where is multiplicity function that plays the role of deformation parameter. For the affine Hecke algebra indeed reduces to .
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Affine Hecke algebra」の詳細全文を読む
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