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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 Right Commutative Algebras

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Author(s):
Adashev, Jobir [1] ; Kaygorodov, Ivan [2] ; Khudoyberdiyev, Abror [3, 1] ; Sattarov, Aloberdi [1]
Total Authors: 4
Affiliation:
[1] Acad Sci Uzbek, Inst Math, Tashkent - Uzbekistan
[2] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[3] Natl Univ Uzbekistan, Tashkent - Uzbekistan
Total Affiliations: 3
Document type: Journal article
Source: Results in Mathematics; v. 76, n. 1 MAR 2021.
Web of Science Citations: 0
Abstract

This paper is devoted to the complete algebraic and geometric classification of complex 4-dimensional nilpotent right commutative algebras. The corresponding geometric variety has dimension 15 and decomposes into 5 irreducible components determined by the Zariski closures of four one-parameter families of algebras and a two-parameter family of algebras (see Theorem B). In particular, there are no rigid complex 4-dimensional nilpotent right commutative algebras. (AU)

FAPESP's process: 19/03655-4 - Graded structures
Grantee:Ivan Kaygorodov
Support Opportunities: Scholarships abroad - Research