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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.)

The algebraic and geometric classification of nilpotent anticommutative algebras

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Author(s):
Kaygorodov, Ivan [1, 2] ; Khrypchenko, Mykola [3, 4] ; Lopes, Samuel A. [5]
Total Authors: 3
Affiliation:
[1] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[2] Siberian Fed Univ, Krasnoyarsk - Russia
[3] Univ Fed Santa Catarina, Dept Matemat, Florianopolis, SC - Brazil
[4] Univ Nova Lisboa, Fac Ciencias & Tecnol, Ctr Matemat & Aplicacoes, Caparica - Portugal
[5] Univ Porto, Fac Ciencias, CMUP, Rua Campo Alegre 687, P-4169007 Porto - Portugal
Total Affiliations: 5
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 224, n. 8 AUG 2020.
Web of Science Citations: 10
Abstract

We give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism classes. The corresponding geometric variety is irreducible and determined by the Zariski closure of a one-parameter family of algebras. In particular, there are no rigid 6-dimensional complex nilpotent anticommutative algebras. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/09299-2 - Generalized derivations of non associative algebras
Grantee:Ivan Kaygorodov
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
FAPESP's process: 18/15712-0 - Conservative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants