2001/09/17 by Alexander Retakh, Retakh, Alexander · 1 citation
Mathematics · Physics and Astronomy · #16P70 (Secondary) #16S99 (Primary) 17B37 #81R10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.QA #math.RA #math.RT #msc:16P70 #msc:16S99 #msc:17B37 #msc:81R10
paper · pdf · doi:10.48550/arxiv.math/0109110
29 pages, AMS-LaTeX; several examples added
openalex publication_date 2001/09/17 · arxiv created 2002/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Pseudoalgebras, introduced in [BDK], are multi-dimensional analogues of conformal algebras, which provide an axiomatic description of the singular part of the operator product expansion. Our main interest in this paper is the pseudoalgebra Cendn, which is the analogue of an algebra of endomorphisms of a finite module. We study its algebraic properties. In particular, we introduce the class of unital pseudoalgebras and describe their structure and representations. Also, we classify pseudoalgebras algebraically similar to Cendn.