The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

Ivan Kaygorodov; Pilar Páez-Guillán; Vasily Voronin

doi:10.1007/s10468-019-09944-x

The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

Ivan Kaygorodov, Pilar Páez-Guillán, Vasily Voronin

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

19 Citations (Scopus)

Abstract

We classify the complex 4-dimensional nilpotent bicommutative algebras from both algebraic and geometric approaches.

Original language	English
Pages (from-to)	2331-2347
Number of pages	17
Journal	Algebras and Representation Theory
Volume	23
Issue number	6
Early online date	4 Jan 2020
DOIs	https://doi.org/10.1007/s10468-019-09944-x
Publication status	Published - 1 Dec 2020

Keywords

Algebraic classification
Bicommutative algebras
Central extension
Degeneration
Geometric classification
Nilpotent algebras
LIE-ALGEBRAS
BINARY-LIE
FIELDS
CENTRAL EXTENSIONS
DEGENERATIONS
VARIETIES

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title = "The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras",

abstract = "We classify the complex 4-dimensional nilpotent bicommutative algebras from both algebraic and geometric approaches.",

keywords = "Algebraic classification, Bicommutative algebras, Central extension, Degeneration, Geometric classification, Nilpotent algebras, LIE-ALGEBRAS, BINARY-LIE, FIELDS, CENTRAL EXTENSIONS, DEGENERATIONS, VARIETIES",

author = "Ivan Kaygorodov and Pilar P{\'a}ez-Guill{\'a}n and Vasily Voronin",

year = "2020",

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T1 - The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

AU - Kaygorodov, Ivan

AU - Páez-Guillán, Pilar

AU - Voronin, Vasily

PY - 2020/12/1

Y1 - 2020/12/1

N2 - We classify the complex 4-dimensional nilpotent bicommutative algebras from both algebraic and geometric approaches.

AB - We classify the complex 4-dimensional nilpotent bicommutative algebras from both algebraic and geometric approaches.

KW - Algebraic classification

KW - Bicommutative algebras

KW - Central extension

KW - Degeneration

KW - Geometric classification

KW - Nilpotent algebras

KW - LIE-ALGEBRAS

KW - BINARY-LIE

KW - FIELDS

KW - CENTRAL EXTENSIONS

KW - DEGENERATIONS

KW - VARIETIES

UR - http://www.scopus.com/inward/record.url?scp=85077621519&partnerID=8YFLogxK

U2 - 10.1007/s10468-019-09944-x

DO - 10.1007/s10468-019-09944-x

M3 - Article

AN - SCOPUS:85077621519

VL - 23

SP - 2331

EP - 2347

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

SN - 1386-923X

IS - 6

ER -

The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

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Keywords

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