Hochschild and cyclic homology of Yang-Mills algebras

被引：6

作者：

Herscovich, Estanislao ^{[1
]}

Solotar, Andrea ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2012年 / 665卷

关键词：

HOMOGENEOUS ALGEBRAS;

D O I：

10.1515/CRELLE.2011.107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to present a detailed algebraic computation of the Hochschild and cyclic homology groups of the Yang-Mills algebras YM(n) (n is an element of N >= 2) defined by A. Connes and M. Dubois-Violette in [8], continuing thus the study of these algebras that we have initiated in [17]. The computation involves the use of a spectral sequence associated to the natural filtration on the universal enveloping algebra YM(n) provided by a Lie ideal t eta m(n) in eta m(n) which is free as Lie algebra. As a corollary, we describe the Lie structure of the first Hochschild cohomology group.

引用

页码：73 / 156

页数：84

共 35 条

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