Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras

被引：0
|
作者：
Dalia Artenstein
Marcelo Lanzilotta
Andrea Solotar
机构：
[1] Universidad de la República,Instituto de Matemática y Estadística “Rafael Laguardia”, Facultad de Ingeniería
[2] Universidad de Buenos Aires,IMAS and Dto. de Matemática, Facultad de Ciencias Exactas y Naturales
来源：
Algebras and Representation Theory | 2020年 / 23卷
关键词：
Hochschild cohomology; Gerstenhaber algebra;
D O I：
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学科分类号：
摘要：
We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module structure of the whole Hochschild cohomology.
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页码：421 / 456
页数：35
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