一类斜Calabi-Yau代数的VandenBergh对偶

VandenBergh duality for a class of skew Calabi-Yau algebras

摘要

利用二元多项式代数的非分次Ore扩张构造一类三维斜Calabi-Yau代数,计算这类斜Calabi-Yau代数的Nakayama自同构,并建立其Hochschild同调和上同调的VandenBergh对偶。

Abstract

A class of three-dimensional skew Calabi-Yau algebras is constructed using ungraded Ore extensions of the polynomial algebra in two variables. The Nakayama automorphisms of these skew Calabi-Yau algebras are computed, and the VandenBergh duality between their Hochschild homology and cohomology is established.

关键词

斜Calabi-Yau代数 / VandenBergh对偶 / Nakayama自同构 / Ore扩张

Key words

skew Calabi-Yau algebras / VandenBergh duality / Nakayama automorphisms / Ore extensions

参考文献

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基金资助

国家自然科学基金资助项目(11971418)