vix.ing · top · new · best · stats · spec

Classifications of Simple Novikov Algebras and Their Irreducible Modules of Characteristic 0

2000/08/09 by Xiaoping Xu, Xu, Xiaoping · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0008072

32 pages;Latex file

arxiv created 2000/08/09 · openalex publication_date 2000/08/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we first present a classification theorem of infinite-dimensional simple Novikov algebras over an algebraically closed field with characteristic 0. Then we classify all the irreducible modules of a certain infinite-dimensional simple Novikov algebras with an idempotent element whose left action is locally finite.

Cited by

Related