Lax operator algebras

被引：17

作者：

Krichever, I. M. ^{[1
,2
]}

Sheinman, O. K. ^{[3
,4
]}

机构：

[1] Landau Theoret Phys Inst, College Pk, MD USA

[2] Columbia Univ, New York, NY 10027 USA

[3] Steklov Math Inst, Moscow, Russia

[4] Independent Univ Moscow, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2007年 / 41卷 / 04期

基金：

俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

Lax operator; current algebra; Tyurin data; almost graded structure; local central extension;

D O I：

10.1007/s10688-007-0026-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop the general approach, introduced in [1], to Lax operators on algebraic curves. We observe that the space of Lax operators is closed with respect to their usual multiplication as matrix-valued functions. We construct orthogonal and symplectic analogs of Lax operators, prove that they form almost graded Lie algebras, and construct local central extensions of these Lie algebras.

引用

页码：284 / 294

页数：11

共 12 条

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[2] Vector bundles and lax equations on algebraic curves
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[8] HIGHER GENUS AFFINE ALGEBRAS OF KRICHEVER-NOVIKOV TYPE
Schlichenmaier, Martin
[J]. MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (04) : 1395 - 1427
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[10] SHEINMAN OK, 2004, AM MATH SOC TRANSL 2, V212, P297

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