DISCRETE AND CONTINUOUS GRADED CONTRACTIONS OF REPRESENTATIONS OF LIE-ALGEBRAS

被引：81

作者：

MOODY, RV ^{[1
]}

PATERA, J ^{[1
]}

机构：

[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 10期

关键词：

D O I：

10.1088/0305-4470/24/10/014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Simultaneous grading of Lie algebras and their representation spaces is used to develop a new theory of grading preserving contractions of representations of all Lie algebras admitting the chosen grading. The theory is completely different from the traditional ways of contracting representations. The graded contractions fall naturally into two classes: discrete and continuous ones related respectively to 2-cocycles and coboundaries of the grading group.

引用

页码：2227 / 2257

页数：31

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