The variety of nilpotent tortkara algebras

Ilya E. Gorshkov; Ivan Kaygorodov; Alexey A. Kytmanov; Mohamed A. Salim

doi:10.17516/1997-1397-2019-12-2-173-184

The variety of nilpotent tortkara algebras

Ilya E. Gorshkov
, Ivan Kaygorodov
, Alexey A. Kytmanov
, Mohamed A. Salim

Department of Mathematical Sciences

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

15 Citations (Scopus)

Abstract

We give algebraic and geometric classification of all 5-dimensional nilpotent Tortkara algebras over complex field.

Original language	English
Pages (from-to)	173-184
Number of pages	12
Journal	Journal of Siberian Federal University - Mathematics and Physics
Volume	12
Issue number	2
DOIs	https://doi.org/10.17516/1997-1397-2019-12-2-173-184
Publication status	Published - 2019

Keywords

Algeraic classification
Central extension
Degenerations
Geometric classification
Tortkara algebra

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.17516/1997-1397-2019-12-2-173-184

Cite this

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title = "The variety of nilpotent tortkara algebras",

abstract = "We give algebraic and geometric classification of all 5-dimensional nilpotent Tortkara algebras over complex field.",

keywords = "Algeraic classification, Central extension, Degenerations, Geometric classification, Tortkara algebra",

author = "Gorshkov, \{Ilya E.\} and Ivan Kaygorodov and Kytmanov, \{Alexey A.\} and Salim, \{Mohamed A.\}",

year = "2019",

doi = "10.17516/1997-1397-2019-12-2-173-184",

language = "English",

volume = "12",

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journal = "Journal of Siberian Federal University - Mathematics and Physics",

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publisher = "Siberian Federal University",

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T1 - The variety of nilpotent tortkara algebras

AU - Gorshkov, Ilya E.

AU - Kaygorodov, Ivan

AU - Kytmanov, Alexey A.

AU - Salim, Mohamed A.

PY - 2019

Y1 - 2019

N2 - We give algebraic and geometric classification of all 5-dimensional nilpotent Tortkara algebras over complex field.

AB - We give algebraic and geometric classification of all 5-dimensional nilpotent Tortkara algebras over complex field.

KW - Algeraic classification

KW - Central extension

KW - Degenerations

KW - Geometric classification

KW - Tortkara algebra

UR - https://www.scopus.com/pages/publications/85065912804

UR - https://www.scopus.com/pages/publications/85065912804#tab=citedBy

U2 - 10.17516/1997-1397-2019-12-2-173-184

DO - 10.17516/1997-1397-2019-12-2-173-184

M3 - Article

AN - SCOPUS:85065912804

SN - 1997-1397

VL - 12

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EP - 184

JO - Journal of Siberian Federal University - Mathematics and Physics

JF - Journal of Siberian Federal University - Mathematics and Physics

IS - 2

ER -

The variety of nilpotent tortkara algebras

Abstract

Keywords

ASJC Scopus subject areas

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