INFINITE-DIMENSIONAL ALGEBRAS AND A TRIGONOMETRIC BASIS FOR THE CLASSICAL LIE-ALGEBRAS

被引：177

作者：

FAIRLIE, DB ^{[1
]}

FLETCHER, P ^{[1
]}

ZACHOS, CK ^{[1
]}

机构：

[1] ARGONNE NATL LAB, DIV HIGH ENERGY PHYS, ARGONNE, IL 60439 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 05期

关键词：

D O I：

10.1063/1.528788

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper explores features of the infinite-dimensional algebras that have been previously introduced. In particular, it is shown that the classical simple Lie algebras (AN,BN,CN,DN) may be expressed in an "egalitarian" basis with trigonometric structure constants. The transformation to the standard Cartan-Weyl basis, and the particularly transparent N → ∞ limit that this formulation allows is provided. © 1990 American Institute of Physics.

引用

页码：1088 / 1094

页数：7

共 37 条

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