On the field of rational pseudo-differential operators

2007/01/02 by Masood Aryapoor, Aryapoor, Masood
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.math/0701073

13 pages

arxiv created 2007/01/02 · openalex publication_date 2007/01/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study some properties of the field of rational pseudo-differential operators on a field and some other related rings. As an application we reconstruct the Kac co-cycle on the Lie algebra of differential operators on a circle.

Related

• On a Ring of Formal Pseudo-differential Operators
• Fundamental solutions of pseudo-differential operators over p-adic\n fields
• Pseudo-Differential Operators and Integrable Models
• On the index of pseudo-differential operators on compact Lie groups
• Cohomology of the Lie algebras of differential operators: lifting formulas