G-structure on the cohomology of Hopf algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

G-structure on the cohomology of Hopf algebras

Authors:	Marco A Farinati Andrea L Solotar

Institution:	Departamento de Matemática Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pab I. 1428, Buenos Aires, Argentina ; Departamento de Matemática Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pab I. 1428, Buenos Aires, Argentina

Abstract:	We prove that $\mathrm{Ext} ^{\bullet}_A(k,k)$ is a Gerstenhaber algebra, where is a Hopf algebra. In case is the Drinfeld double of a finite-dimensional Hopf algebra , our results imply the existence of a Gerstenhaber bracket on $H^{\bullet}_{GS}(H,H)$ . This fact was conjectured by R. Taillefer. The method consists of identifying $H^{\bullet}_{GS}(H,H)\cong {\mathrm{Ext}}^{\bullet}_A(k,k)$ as a Gerstenhaber subalgebra of $H^{\bullet}(A,A)$ (the Hochschild cohomology of ).

Keywords:	Gerstenhaber algebras Hopf algebras Hochschild cohomology

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文