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Singular Polynomials for the Rational Cherednik Algebra for G(r, 1, 2)
Algebras and Representation Theory ( IF 0.6 ) Pub Date : 2021-07-16 , DOI: 10.1007/s10468-021-10076-4 Armin Gusenbauer 1
中文翻译:
G(r, 1, 2) 的有理 Cherednik 代数的奇异多项式
更新日期:2021-07-16
Algebras and Representation Theory ( IF 0.6 ) Pub Date : 2021-07-16 , DOI: 10.1007/s10468-021-10076-4 Armin Gusenbauer 1
Affiliation
We study the rational Cherednik algebra attached to the complex reflection group G(r, 1, 2). Each irreducible representation Sλ of G(r, 1, 2) corresponds to a standard module Δ(λ) for the rational Cherednik algebra. We give necessary and sufficient conditions for the existence of morphism between two of these modules and explicit formulas for them when they exist.
中文翻译:
G(r, 1, 2) 的有理 Cherednik 代数的奇异多项式
我们研究附加到复数反射群G ( r , 1, 2)的有理 Cherednik 代数。每个不可约表示š λ的ģ([R,1,2)对应于标准模块Δ(λ)为合理Cherednik代数。我们给出了其中两个模之间态射存在的充分必要条件,以及当它们存在时它们的显式公式。