UNIVERSAL DEFORMATION FORMULAS AND BREAKING SYMMETRY

被引：7

作者：

COLL, V

GERSTENHABER, M

SCHACK, SD

机构：

[1] SUNY BUFFALO, DEPT MATH, 106 DIEFENDORF HALL, BUFFALO, NY 14214 USA

[2] URSINUS COLL, DEPT MATH, COLLEGEVILLE, PA 19426 USA

[3] UNIV PENN, DEPT MATH, PHILADELPHIA, PA 19104 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1993年 / 90卷 / 03期

关键词：

D O I：

10.1016/0022-4049(93)90041-Q

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that an algebra with a non-nilpotent Lie group of automorphisms or ''symmetries'' (e.g., smooth functions on a manifold with such a group of diffeomorphisms) may generally be deformed (in the function case, ''quantized'') in such a way that only a proper subgroup of the original group acts. This symmetry breaking is a consequence of the existence of certain ''universal deformation formulas'' which are elements, independent of the original algebra, in the tensor algebra of the enveloping algebra of the Lie algebra of the group.

引用

页码：201 / 219

页数：19

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