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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 nilpotent CD-algebras

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Author(s):
Kaygorodov, Ivan [1] ; Khrypchenko, Mykola [2]
Total Authors: 2
Affiliation:
[1] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, Florianopolis, SC - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 20, n. 11 NOV 2021.
Web of Science Citations: 2
Abstract

We give a geometric classification of complex 4-dimensional nilpotent CD-algebras. The corresponding geometric variety has dimension 18 and decomposes into 2 irreducible components determined by the Zariski closures of a two-parameter family of algebras and a four-parameter family of algebras. In particular, there are no rigid 4-dimensional complex nilpotent CD-algebras. (AU)

FAPESP's process: 18/15712-0 - Conservative algebras and superalgebras
Grantee:Ivan Kaygorodov
Support Opportunities: Regular Research Grants
FAPESP's process: 18/00726-5 - Deformations of nonassociative algebras
Grantee:Ivan Kaygorodov
Support Opportunities: Research Grants - Visiting Researcher Grant - International