Algebraic Analysis of Differential Equations

被引：0

作者：

Osetrova, Tatyana A. ^{[1
]}

Tarkhanov, Nikolai ^{[2
]}

机构：

[1] Siberian Fed Univ, Inst Math, Svobodny 79, Krasnoyarsk 660041, Russia

[2] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2008年 / 1卷 / 04期

关键词：

normed algebras;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given any algebra over a field with a finite number of generators, we define a first order partial differential operator acting on functions taking their values in the algebra. While being not canonical, the construction is fairly natural. We call this differential operator Dirac operator related to the algebra, and show some examples. Conversely, to each homogeneous first order differential operator one assigns an algebra which absorbs formal properties of the operator.

引用

页码：391 / 398

页数：8

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