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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 geometric classification of 2-step nilpotent algebras and applications

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Author(s):
Ignatyev, Mikhail [1] ; Kaygorodov, Ivan [2, 3] ; Popov, Yury [4]
Total Authors: 3
Affiliation:
[1] Samara Natl Res Univ, Samara - Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow - Russia
[3] Univ Beira Interior, Ctr Matemat & Aplicacoes, Covilha - Portugal
[4] St Petersburg State Univ, St Petersburg - Russia
Total Affiliations: 4
Document type: Journal article
Source: REVISTA MATEMATICA COMPLUTENSE; OCT 2021.
Web of Science Citations: 0
Abstract

We give a geometric classification of complex n-dimensional 2-step nilpotent (all, commutative and anticommutative) algebras. Namely, it has been found the number of irreducible components and their dimensions. As a corollary, we have a geometric classification of complex 5-dimensional nilpotent associative algebras. In particular, it has been proven that this variety has 11 irreducible components and 7 rigid algebras. (AU)

FAPESP's process: 19/00563-1 - Enveloping algebras of nilpotent Leibniz algebras
Grantee:Ivan Kaygorodov
Support Opportunities: Research Grants - Visiting Researcher Grant - International