EQUIVALENCE OF DEFORMATIONS AND ASSOCIATED STAR-PRODUCTS

被引：12

作者：

GUTT, S

机构：

[1] U.L.B. Campus Plaine, Bruxelles, B-1050

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1979年 / 3卷 / 04期

关键词：

D O I：

10.1007/BF01821850

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this letter we study the non-trivial formal differentiable deformations of the Lie algebra N=C∞(W, IR) where W is a symplectic manifold. Under some assumptions (satisfied in particular for W=IR2 n) we show that these deformations are all equivalent, up to a monomial change of the parameter, to one of them (Moyal for IR2 n). Furthermore, if there exists a differentiable *-product corresponding to one of them, each of them is induced by a *-product which is essentially unique. © 1979 D. Reidel Publishing Company.

引用

页码：297 / 309

页数：13

共 5 条

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