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The algebraic and geometric classification of nilpotent right alternative algebras

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Author(s):
Ismailov, Nurlan ; Kaygorodov, Ivan ; Mustafa, Manat
Total Authors: 3
Document type: Journal article
Source: PERIODICA MATHEMATICA HUNGARICA; v. 84, n. 1, p. 13-pg., 2021-06-14.
Abstract

We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety has dimension 13 and it is determined by the Zariski closure of 4 rigid algebras and one one-parametric family of algebras. (AU)

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