一类特殊的Koszul Calabi-Yau DG代数

毛雪峰, 何继位

数学学报 ›› 2017, Vol. 60 ›› Issue (3) : 475-504.

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PDF(634 KB)
数学学报 ›› 2017, Vol. 60 ›› Issue (3) : 475-504. DOI: 10.12386/A2017sxxb0039
论文

一类特殊的Koszul Calabi-Yau DG代数

    毛雪峰1, 何继位2
作者信息 +

A Special Class of Koszul Calabi-Yau DG Algebras

    Min REN1, Guang Hui ZHANG2
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文章历史 +

摘要

假设一个连通上链DG代数A的基分次代数A#或者同调分次代数HA)是由一次元素x,y生成的代数k<x,y>/(xy+yx). 本文证明A是Koszul Calabi-Yau DG代数.

Abstract

It is proved in this paper that a connected cochain DG algebra A is a Koszul Calabi-Yau DG algebra if either its cohomology graded algebra H(A) or its underlying graded algebra A# is the algebra k<x,y>/(xy+yx) generated by degree 1 elements x,y.

关键词

Koszul / Calabi-Yau / 微分分次代数

Key words

Koszul / Calabi-Yau / DG algebra

引用本文

导出引用
毛雪峰, 何继位. 一类特殊的Koszul Calabi-Yau DG代数. 数学学报, 2017, 60(3): 475-504 https://doi.org/10.12386/A2017sxxb0039
Min REN, Guang Hui ZHANG. A Special Class of Koszul Calabi-Yau DG Algebras. Acta Mathematica Sinica, Chinese Series, 2017, 60(3): 475-504 https://doi.org/10.12386/A2017sxxb0039

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基金

国家自然科学基金资助项目(11571239,11001056)

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