On the cyclic Deligne conjecture

被引：37

作者：

Tradler, T

Zeinalian, M

机构：

[1] Long Isl Univ, Dept Math, Greenvale, NY 11548 USA

[2] CUNY, Coll Technol, Dept Math, Brooklyn, NY 11201 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 204卷 / 02期

关键词：

D O I：

10.1016/j.jpaa.2005.04.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

LetA be a finite dimensional, unital, and associative algebra which is endowed with a non-degenerate and invariant inner product. We give in explicit description of an action of cyclic Sullivan chord diagrams on the normalized Hochschild cochain complex of A. As a corollary. the Hochschild cohomology of A becomes a Frobenius algebra which is endowed with a compatihle BV operator If A is also commutative, then the discussion extends to an action of general Sullivan chord diagrams. Some implications of this are discussed. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：280 / 299

页数：20