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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 noncommutative Jordan algebras

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Author(s):
Jumaniyozov, Doston [1] ; Kaygorodov, Ivan [2] ; Khudoyberdiyev, Abror [1, 3]
Total Authors: 3
Affiliation:
[1] Natl Univ Uzbekistan, Tashkent - Uzbekistan
[2] Fed Univ ABC, CMCC, Santo Andre, SP - Brazil
[3] Acad Sci Uzbek, Inst Math, Tashkent - Uzbekistan
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 20, n. 11 NOV 2021.
Web of Science Citations: 1
Abstract

We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only 18 non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The corresponding geometric variety is determined by the Zariski closure of three rigid algebras and two one-parametric families of algebras. (AU)

FAPESP's process: 19/00192-3 - The geometric classification of non-assocociative algebras
Grantee:Ivan Kaygorodov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/15712-0 - Conservative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants