扭曲量子Drinfeld Hecke代数
Twisted quantum Drinfeld Hecke algebras
摘要：
通过在相应的有限群上引入一个2-上圈，推广了量子Drinfeld-Hecke代数.我们确定这些代数的扭曲斜群代数变形的专业化，给出了明确的连接到Hochschild上同调。我们分类这些代数的对角作用，以及为对称群与他们的自然表示。我们的结果表明，对称群的参数空间在扭曲设置小于在非扭曲设置。
英文摘要：
We generalize quantum Drinfeld Hecke algebras by incorporating a 2-cocycle on the associated finite group. We identify these algebras as specializations of deformations of twisted skew group algebras, giving an explicit connection to Hochschild cohomology. We classify these algebras for diagonal actions, as well as for the symmetric groups with their natural representations. Our results show that the parameter spaces for the symmetric groups in the twisted setting is smaller than in the untwisted setting.
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