Cohomologies and deformations of right-symmetric algebras

1998/07/13 by Askar Dzhumadil'daev, Askar Dzhumadil’daev, Dzhumadil'daev, Askar · 3 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #math.DG #math.RA

paper · pdf · doi:10.48550/arxiv.math/9807065

51 pages, latex, no figures

arxiv created 1998/07/13 · openalex publication_date 1998/07/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An algebra A with identity (a∘ b)∘ c-a∘(b∘ c)=(a∘ c)∘ b-a∘(c∘ b), is called right-symmetric. Cohomology and deformation theory for right-symmetric algebras are developed. Cohomologies of gl_n and half-Witt algebras W_n^rsym, p=0, W_n^rsym(\bf m), p>0, are calculated. In particular, one right-symmetric central extension of W₁^rsym is constructed.

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