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arxiv: 1212.4289 · v1 · pith:NRNLOPY7new · submitted 2012-12-18 · 🧮 math.QA · math.RA

Calabi-Yau Nichols algebras of Hecke type

classification 🧮 math.QA math.RA
keywords algebracalabi-yauheckenicholsthentypealgebrascomplex
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Let $R$ be a Nichols algebra of Hecke type. In this paper, we show that if $R$ is Noetherian and of finite global dimension, then $R$ has a rigid dualizing complex. We then give a necessary and sufficient condition for $R$ to be a Calabi-Yau algebra.

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