Lax operator algebras of type G2

被引：6

作者：

Sheinman, O. K. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia

[2] Independent Univ Moscow, Moscow 119002, Russia

来源：

DOKLADY MATHEMATICS | 2014年 / 89卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Riemann Surface; DOKLADY Mathematic; Central Extension; Current Algebra; Double Polis;

D O I：

10.1134/S1064562414020033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lax operator algebras for the root system G (2), and arbitrary finite genus Riemann surfaces and Tyurin data on them are constructed.

引用

页码：151 / 153

页数：3

共 10 条

[1]

[Anonymous], 1983, Representations of Lie groups

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

Krichever, I .

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

[3] Lax operator algebras [J].

Krichever, I. M. ;

Sheinman, O. K. .

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

[4]

Krichever I. M., 1998, SURVEYS DIFFERENTIAL, P239

[5] ALGEBRAS OF VIRASORO TYPE, RIEMANN SURFACES AND STRUCTURES OF THE THEORY OF SOLITONS [J].

KRICHEVER, IM ;

NOVIKOV, SP .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1987, 21 (02) :126-142

[6] Central extensions of Lax operator algebras [J].

Schlichenmaier, M. ;

Sheinman, O. K. .

RUSSIAN MATHEMATICAL SURVEYS, 2008, 63 (04) :727-766

[7] KRICHEVER-NOVIKOV ALGEBRAS FOR MORE THAN 2 POINTS - EXPLICIT GENERATORS [J].

SCHLICHENMAIER, M .

LETTERS IN MATHEMATICAL PHYSICS, 1990, 19 (04) :327-336

[8]

Schlichenmaier M., ARXIV13043902

[9]

Sheinman O. K., ARXIV130425102

[10]

Sheinman O. K., 2012, CURRENT ALGEBRAS RIE

← 1 →