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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Degenerations of binary Lie and nilpotent Malcev algebras

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Author(s):
Kaygorodov, Ivan [1] ; Popov, Yury [2] ; Volkov, Yury [3]
Total Authors: 3
Affiliation:
[1] Univ Fed ABC, CMCC, BR-09210170 Santo Andre - Brazil
[2] Univ Estadual Campinas, IMECC, Campinas, SP - Brazil
[3] St Petersburg State Univ, St Petersburg - Russia
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 46, n. 11, p. 4928-4940, 2018.
Web of Science Citations: 12
Abstract

We describe degenerations of four-dimensional binary Lie algebras, and five- and six-dimensional nilpotent Malcev algebras over C. In particular, we describe all irreducible components of these varieties. (AU)

FAPESP's process: 14/24519-8 - Generalized derivations of non associative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants
FAPESP's process: 16/16445-0 - Representations of (super)algebras of Jordan type
Grantee:Yury Popov
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 14/19521-3 - Structures on the Hochschild cohomology and homology for associative algebras
Grantee:Iurii Volkov
Support Opportunities: Scholarships in Brazil - Post-Doctoral