The geometric classification of nilpotent Tortkara algebras

Ilya Gorshkov; Ivan Kaygorodov; Mykola Khrypchenko

doi:10.1080/00927872.2019.1635612

The geometric classification of nilpotent Tortkara algebras

Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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Abstract

We give a geometric classification of all 6-dimensional nilpotent Tortkara algebras over ℂ.

Original language	English
Pages (from-to)	204-209
Number of pages	6
Journal	Communications in Algebra
Volume	48
Issue number	1
DOIs	https://doi.org/10.1080/00927872.2019.1635612
Publication status	Published - 2 Jan 2020

Keywords

Degeneration
geometric classification
Lie algebra
Malcev algebra
nilpotent algebra
Tortkara algebra

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10.1080/00927872.2019.1635612Licence: CC BY-NC-ND

The geometric classification of nilpotent Tortkara algebrasFinal published version, 1.05 MBLicence: CC BY-NC-ND

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title = "The geometric classification of nilpotent Tortkara algebras",

abstract = "We give a geometric classification of all 6-dimensional nilpotent Tortkara algebras over ℂ.",

keywords = "Degeneration, geometric classification, Lie algebra, Malcev algebra, nilpotent algebra, Tortkara algebra",

author = "Ilya Gorshkov and Ivan Kaygorodov and Mykola Khrypchenko",

note = "Funding Information: The work was supported by RSF 18-71-10007. ",

year = "2020",

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doi = "10.1080/00927872.2019.1635612",

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AU - Kaygorodov, Ivan

AU - Khrypchenko, Mykola

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AB - We give a geometric classification of all 6-dimensional nilpotent Tortkara algebras over ℂ.

KW - Degeneration

KW - geometric classification

KW - Lie algebra

KW - Malcev algebra

KW - nilpotent algebra

KW - Tortkara algebra

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DO - 10.1080/00927872.2019.1635612

M3 - Article

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VL - 48

SP - 204

EP - 209

JO - Communications in Algebra

JF - Communications in Algebra

IS - 1

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The geometric classification of nilpotent Tortkara algebras

Abstract

Keywords

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