Dennis supertrace and the Hochschild homology of supermatrices

被引：1

作者：

Blaga, P. A. ^{[1
]}

机构：

[1] Univ Cluj Napoca, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 16卷 / 03期

关键词：

Mathematical Physic; Diagonal Block; Cyclic Homology; Hochschild Homology; Generalize Trace;

D O I：

10.1134/S1061920809030066

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a generalization of the Dennis trace (for matrices) to the case of supermatrices over an arbitrary (not necessarily commutative) superalgebra with unit is constructed. By analogy with the ungraded case, we show how one can use this mapping to construct an isomorphism from the Hochschild homology of the superalgebra to the Hochschild homology of the supermatrix algebra.

引用

页码：384 / 390

页数：7