Extensions and Deformations of Algebras with Higher Derivations

被引：0
|
作者：
Apurba Das
机构：
[1] Indian Institute of Technology,Department of Mathematics and Statistics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2022年 / 45卷
关键词：
Higher derivations; AssHDer pairs; Hochschild cohomology; Extensions; Formal deformations; 16E40; 16S80; 16W25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Higher derivations on an associative algebra generalize higher-order derivatives. We call a tuple consisting of an algebra and a higher derivation on it by an AssHDer pair. We define cohomology for AssHDer pairs with coefficients in a representation. Next, we study central extensions of an AssHDer pair and relate them with the second cohomology group of the AssHDer pair. Finally, we consider deformations of AssHDer pairs that are governed by the cohomology with self-coefficient.
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页码：379 / 398
页数：19
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