Calabi-Yau Nichols algebras of Hecke type
Xiaolan Yu, Yinhuo Zhang

TL;DR
This paper investigates Nichols algebras of Hecke type, establishing conditions under which they possess a rigid dualizing complex and characterizing when they are Calabi-Yau algebras.
Contribution
It provides a characterization of Calabi-Yau Nichols algebras of Hecke type based on Noetherianity and finite global dimension.
Findings
Existence of a rigid dualizing complex under certain conditions
Necessary and sufficient conditions for Calabi-Yau property
Abstract
Let be a Nichols algebra of Hecke type. In this paper, we show that if is Noetherian and of finite global dimension, then has a rigid dualizing complex. We then give a necessary and sufficient condition for to be a Calabi-Yau algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
