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IRREDUCIBLE BIMODULES OVER ALTERNATIVE ALGEBRAS AND SUPERALGEBRAS

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Author(s):
Shestakov, Ivan ; Trushina, Maria
Total Authors: 2
Document type: Journal article
Source: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 368, n. 7, p. 28-pg., 2016-07-01.
Abstract

The aim of the paper is to describe irreducible birepresentations of alternative algebras and superalgebras. The complete classification is obtained for irreducible even bimodules of arbitrary dimension and characteristic and for finite-dimensional irreducible superbimodules over an algebraically closed field. We also describe irreducible superbimodules of any dimension and characteristic over the simple alternative superalgebras. (AU)

FAPESP's process: 10/50347-9 - Algebras, representations e applications
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants