TENSOR PRODUCT DECOMPOSITIONS FOR AFFINE KAC-MOODY ALGEBRAS

被引：1

作者：

GOULD, MD

机构：

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1994年 / 6卷 / 06期

关键词：

D O I：

10.1142/S0129055X94000456

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The decomposition into irreducible modules is determined, for the tenser product of two arbitrary irreducible integrable highest weight modules, for an (untwisted) affine Kac-Moody algebra L. The result is applied to investigate full multiplicity regions and cyclic modules within the tenser product space for an affine Kac-Moody algebra. The tenser product decomposition into irreducible modules over L+ V-ir (Coset construction), V-ir the Virasoro algebra, is also briefly investigated.

引用

页码：1269 / 1299

页数：31

共 40 条

[1] Adler S. L., 1968, CURRENT ALGEBRAS APP
[2] Baxter R. J., 2007, EXACTLY SOLVED MODEL
[3] INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY
BELAVIN, AA
POLYAKOV, AM
ZAMOLODCHIKOV, AB
[J]. NUCLEAR PHYSICS B, 1984, 241 (02) : 333 - 380
[4] INTEGRABLE REPRESENTATIONS OF TWISTED AFFINE LIE-ALGEBRAS
CHARI, V
PRESSLEY, A
[J]. JOURNAL OF ALGEBRA, 1988, 113 (02) : 438 - 464
[5] Conway JH., 1979, B LOND MATH SOC, V11, P308, DOI DOI 10.1112/BLMS/11.3.308
[6] OPERATOR APPROACH TO THE KADOMTSEV-PETVIASHVILI EQUATION - TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS III
DATE, E
JIMBO, M
KASHIWARA, M
MIWA, T
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (11) : 3806 - 3812
[7] TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS .4. A NEW HIERARCHY OF SOLITON-EQUATIONS OF KP-TYPE
DATE, E
JIMBO, M
KASHIWARA, M
MIWA, T
[J]. PHYSICA D, 1982, 4 (03): : 343 - 365
[8] LANDAU-LIFSHITZ EQUATION - SOLITONS, QUASI-PERIODIC SOLUTIONS AND INFINITE-DIMENSIONAL LIE-ALGEBRAS
DATE, E
JIMBO, M
KASHIWARA, M
MIWA, T
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (02): : 221 - 236
[9] Dixmier J., 1977, ALGEBRAS
[10] Drinfel'd V. G., 1981, SOV MATH DOKL, V23, P457

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