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

[1] SUR LA GEOMETRIE DIFFERENTIELLE DES GROUPES DE LIE DE DIMENSION INFINIE ET SES APPLICATIONS A LHYDRODYNAMIQUE DES FLUIDES PARFAITS [J].

ARNOLD, V .

ANNALES DE L INSTITUT FOURIER, 1966, 16 (01) :319-&

[2]

ARNOLD V, 1978, MATH METHODS CLASSIC, P339

[3]

BAKAS I, LARGE N LIMIT EXTEND

[4] FORMULATION OF QUANTUM MECHANICS BASED ON THE QUASI-PROBABILITY DISTRIBUTION INDUCED ON PHASE SPACE [J].

BAKER, GA .

PHYSICAL REVIEW, 1958, 109 (06) :2198-2206

[5]

BALIAN R, 1986, CR ACAD SCI I-MATH, V303, P773

[6]

Balinskii A.A., 1985, SOV MATH DOKL, V32, P228

[7]

BELAVIN AA, 1980, JETP LETT+, V32, P169

[8] EXPLICITLY TIME-DEPENDENT CONSTANTS SYMMETRIES OF THE HIGHER-ORDER KP EQUATIONS [J].

CASE, KM ;

MONGE, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (06) :1250-1253

[9] NEW APPROACH TO THE QUANTIZED STRING THEORY [J].

EGUCHI, T .

PHYSICAL REVIEW LETTERS, 1980, 44 (03) :126-129

[10] TWISTED LARGE-N FIELDS AT HIGH-TEMPERATURE [J].

FABRICIUS, K ;

ALTES, CPK .

NUCLEAR PHYSICS B, 1984, 240 (02) :237-252

← 1 2 3 4 →