GLOBAL CURRENT ALGEBRAS AND LOCALIZATION ON RIEMANN SURFACES

被引：6

作者：

Sheinman, Oleg K. ^{[1
]}

机构：

[1] Steklov Math Inst, Dept Geometry & Topol, Moscow, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2015年 / 15卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Lax operator algebra; semisimple Lie algebra; Lax equation; grading; Hamiltonian theory; LAX OPERATOR-ALGEBRAS; VIRASORO-TYPE; EQUATIONS;

D O I：

10.17323/1609-4514-2015-15-4-833-846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article, certain new Lie algebras of algebraic-geometrical nature, and their relations with the theory of finite-dimensional integrable systems are described.

引用

页码：833 / 846

页数：14

共 27 条

[1] THE SUGAWARA CONSTRUCTION ON GENUS-G RIEMANN SURFACES [J].

BONORA, L ;

RINALDI, M ;

RUSSO, J ;

WU, K .

PHYSICS LETTERS B, 1988, 208 (3-4) :440-446

[2]

Feigin B. L., 1990, P ICM KYOT 1990, P71

[3] Four dimensional realization of two dimensional current groups [J].

Frenkel, IB ;

Khesin, BA .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 178 (03) :541-561

[4] INTEGRABILITY AND SEIBERG-WITTEN EXACT SOLUTION [J].

GORSKY, A ;

KRICHEVER, I ;

MARSHAKOV, A ;

MIRONOV, A ;

MOROZOV, A .

PHYSICS LETTERS B, 1995, 355 (3-4) :466-474

[5]

Kac V.G., 1990, Infinite-dimensional Lie algebras, DOI 10.1017/CBO9780511626234

[6] Vector bundles and lax equations on algebraic curves [J].

Krichever, I .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 229 (02) :229-269

[7] Lax operator algebras [J].

Krichever, I. M. ;

Sheinman, O. K. .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2007, 41 (04) :284-294

[8]

Krichever I.M., 1978, FUNCT ANAL APPL+, V12, P276, DOI 10.1007/BF01076381

[9] HOLOMORPHIC BUNDLES OVER ALGEBRAIC-CURVES AND NON-LINEAR EQUATIONS [J].

KRICHEVER, IM ;

NOVIKOV, SP .

RUSSIAN MATHEMATICAL SURVEYS, 1980, 35 (06) :53-79

[10]

KRICHEVER IM, 1987, FUNCT ANAL APPL+, V21, P294

← 1 2 3 →