dN=0:: Generalized homology

被引：50

作者：

Dubois-Violette, M ^{[1
]}

机构：

[1] Univ Paris 11, Phys Theor & Hautes Energies Lab, F-91405 Orsay, France

来源：

K-THEORY | 1998年 / 14卷 / 04期

关键词：

homology; N-complexes; simplicial modules; Hochschild homology; q-calculus;

D O I：

10.1023/A:1007786403736

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the generalized homology associated with a nilpotent endomorphism d satisfying d(N) = 0. For simplicial modules, we construct such nilpotent endomorphisms and we prove a general result relating the corresponding generalized homologies to the ordinary homology. We also discuss the generalization of the notion of graded differential algebra in this context.

引用

页码：371 / 404

页数：34

共 14 条

[1]

DETRAUBENBERG MR, ALGEBRES CLIFFORD SU

[2]

Dubois-Violette M., 1996, ACTA MATH U COMENIAN, VLXV, P175

[3] Generalized cohomologies and the physical subspace of the SU(2) WZNW model [J].

DuboisViolette, M ;

Todorov, IT .

LETTERS IN MATHEMATICAL PHYSICS, 1997, 42 (02) :183-192

[4]

DUBOISVIOLETTE M, 1997, CZECH J PHYS, V46, P1227

[5]

Greub W.H, 1963, LINEAR ALGEBRA

[6]

KAPRANOV MM, 1991, QALG961005 CORN U

[7]

KAROUBI M, 1983, CR ACAD SCI I-MATH, V297, P381

[8]

KAROUBI M, 1987, ASTERISQUE, V149

[9]

KASSEL C, IN PRESS PUB RES I M

[10]

Loday J.-L., 1992, CYCLIC HOMOLOGY

← 1 2 →