The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras

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The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. / Kaygorodov, Ivan; Páez-Guillán, Pilar; Voronin, Vasily.

In: Algebras and Representation Theory, Vol. 23, No. 6, 01.12.2020, p. 2331-2347.

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

Harvard

Kaygorodov, I, Páez-Guillán, P & Voronin, V 2020, 'The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras', Algebras and Representation Theory, vol. 23, no. 6, pp. 2331-2347. https://doi.org/10.1007/s10468-019-09944-x

APA

Kaygorodov, I., Páez-Guillán, P., & Voronin, V. (2020). The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. Algebras and Representation Theory, 23(6), 2331-2347. https://doi.org/10.1007/s10468-019-09944-x

Vancouver

Kaygorodov I, Páez-Guillán P, Voronin V. The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. Algebras and Representation Theory. 2020 Dec 1;23(6):2331-2347. Epub 2020 Jan 4. doi: 10.1007/s10468-019-09944-x

Author

Kaygorodov, Ivan ; Páez-Guillán, Pilar ; Voronin, Vasily. / The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. In: Algebras and Representation Theory. 2020 ; Vol. 23, No. 6. pp. 2331-2347.

BibTeX

@article{1045b3f3943e4b26ac306f12687f2b3b,

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",

month = dec,

day = "1",

doi = "10.1007/s10468-019-09944-x",

language = "English",

volume = "23",

pages = "2331--2347",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

publisher = "Springer Netherlands",

number = "6",

}

RIS

TY - JOUR

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 -

ID: 23124763