ON THE ALGEBRAIC STRUCTURES CONNECTED WITH THE LINEAR POISSON BRACKETS OF HYDRODYNAMICS TYPE

被引：5

作者：

BALINSKY, AA ^{[1
]}

BALINSKY, AI ^{[1
]}

机构：

[1] MOSCOW PEDAGOG UNIV,DEPT MATH,MOSCOW 331782,RUSSIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 07期

关键词：

D O I：

10.1088/0305-4470/26/7/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The generalized form of the Kac formula for Verma modules associated with linear brackets of hydrodynamics type is proposed. Second cohomology groups of the generalized Virasoro algebras are calculated. Connection of the central extensions with the problem of quantization of hydrodynamics brackets is demonstrated.

引用

页码：L361 / L364

页数：4

共 10 条

[1]

BALINSKY AA, 1985, SOV MATH DOKL, V32, P229

[2]

BALINSKY AA, 1987, FUNCT ANAL PRILOZHEN, V21, P62

[3]

Dubrovin B. A., 1989, RUSS MATH SURV, V44, P35, DOI 10.1070/RM1989v044n06ABEH002300

[4]

DUBROVIN BA, 1983, DOKL AKAD NAUK SSSR+, V270, P781

[5]

DUBROVIN BA, 1987, DOKL AKAD NAUK SSSR, V279, P294

[6]

GELFAND IM, 1979, FUNKT ANAL PRIL, V13, P13

[7]

GELFAND IM, 1968, FUNCT ANAL PRILOZHEN, V4, P92

[8]

Novikov S.P., 1982, USP MAT NAUK, V37, P3

[9]

ZELMANOV EI, 1987, DOKL AKAD NAUK SSSR, V292, P6

[10]

[No title captured]

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