COHOMOLOGY AND DEFORMATION OF LEIBNIZ PAIRS

被引：47

作者：

FLATO, M ^{[1
]}

GERSTENHABER, M ^{[1
]}

VORONOV, AA ^{[1
]}

机构：

[1] UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 34卷 / 01期

关键词：

Mathematics Subject Classifications (1991): 16E40; 16W30; 17B37; 81R50;

D O I：

10.1007/BF00739377

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cohomology and deformation theories are developed for Poisson algebras starting with the more general concept of a Leibniz pair, namely of an associative algebra A together with a Lie algebra L mapped into the derivations of A. A bicomplex (with both Hochschild and Chevalley-Eilenberg cohomologies) is essential.

引用

收藏

页码：77 / 90

页数：14

相关论文

共 21 条

[1] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].

BAYEN, F ;

FLATO, M ;

FRONSDAL, C ;

LICHNEROWICZ, A ;

STERNHEIMER, D .

ANNALS OF PHYSICS, 1978, 111 (01) :61-110

[2] THE HIDDEN GROUP-STRUCTURE OF QUANTUM GROUPS - STRONG DUALITY, RIGIDITY AND PREFERRED DEFORMATIONS [J].

BONNEAU, P ;

FLATO, M ;

GERSTENHABER, M ;

PINCZON, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 161 (01) :125-156

[3] UNIVERSAL DEFORMATION FORMULAS AND BREAKING SYMMETRY [J].

COLL, V ;

GERSTENHABER, M ;

SCHACK, SD .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1993, 90 (03) :201-219

[4] CLOSED STAR PRODUCTS AND CYCLIC COHOMOLOGY [J].

CONNES, A ;

FLATO, M ;

STERNHEIMER, D .

LETTERS IN MATHEMATICAL PHYSICS, 1992, 24 (01) :1-12

[5]

CONNES A, 1986, PUBL MATH IHES, V62, P41

[6]

FOX T, 1994, DISTRIBUTIVE LAWS CO

[7] ON DEFORMATION OF RINGS + ALGEBRAS [J].

GERSTENHABER, M .

ANNALS OF MATHEMATICS, 1964, 79 (01) :59-&

[8] COHOMOLOGY STRUCTURE OF AN ASSOCIATIVE RING [J].

GERSTENHABER, M .

ANNALS OF MATHEMATICS, 1963, 78 (02) :267-&

[9] DEFORMATION OF RINGS AND ALGEBRAS IV [J].

GERSTENHABER, M .

ANNALS OF MATHEMATICS, 1974, 99 (02) :257-276

[10] A HODGE-TYPE DECOMPOSITION FOR COMMUTATIVE ALGEBRA COHOMOLOGY [J].

GERSTENHABER, M ;

SCHACK, SD .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1987, 48 (03) :229-247