An algebraic approach to the KZ-functor for rational Cherednik algebras associated with cyclic groups

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• 作者：Sam Thelin¹ ; ^{sam.thelin@mathematik.uni-stuttgart.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16G99
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：471
• 期：Complete
• 页码：113-148
• 全文大小：688 K

文摘

We give a complete algebraic description of the KZ-functor for rational Cherednik algebras associated with cyclic groups for a subset of parameter values from which all parameter values can be obtained by integral translations. This is done by identifying the precise parameter values for which the projective object P_KZ$P_{\mathrm{KZ}}$ is isomorphic to the Δ-module associated with the coinvariant algebra and by determining the action of the cyclotomic Hecke algebra on P_KZ$P_{\mathrm{KZ}}$ in this case.