ON THE RIGHT-SYMMETRIC ALGEBRAS WITH A UNITAL MATRIX SUBALGEBRA

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Author(s):	Pozhidaev, A. P. ^{[1, 2]} ; Shestakov, I. P. ^[3] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Dept Matemat, Sao Paulo - Brazil ^[2] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk - Russia ^[3] Sobolev Inst Math, Novosibirsk - Russia Total Affiliations: 3
Document type:	Journal article
Source:	SIBERIAN MATHEMATICAL JOURNAL; v. 62, n. 1, p. 138-147, JAN 2021.
Web of Science Citations:	0
Abstract
Under study are the right-symmetric algebras over a field F which possess a ``unital{''} matrix subalgebra M-n(F). We classify all these finite-dimensional right-symmetric algebras A = W circle plus M-2(F) in the case when W is an irreducible module over sl(2)(F). (AU)

FAPESP's process:	18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:	Ivan Chestakov
Support Opportunities:	Research Projects - Thematic Grants


FAPESP's process:	18/05372-7 - Simple finite-dimensional left-symmetric (super)algebras
Grantee:	Ivan Chestakov
Support Opportunities:	Research Grants - Visiting Researcher Grant - International