Cartan subalgebras of Leibniz n-algebras

S. Albeverio; Sh A. Ayupov; B. A. Omirov; R. M. Turdibaev

doi:10.1080/00927870802319406

Cartan subalgebras of Leibniz n-algebras

S. Albeverio
, Sh A. Ayupov
, B. A. Omirov
, R. M. Turdibaev

University of Bonn
Academy of Sciences of the Republic of Uzbekistan
National University of Uzbekistan named after Mirzo Ulugbek

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

12 Scopus citations

Abstract

The present article is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established.

Original language	English
Pages (from-to)	2080-2096
Number of pages	17
Journal	Communications in Algebra
Volume	37
Issue number	6
DOIs	https://doi.org/10.1080/00927870802319406
State	Published - Jun 2009
Externally published	Yes

Keywords

Cartan subalgebra
Leibniz n-algebra
Regular element
n-Lie algebra

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10.1080/00927870802319406

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title = "Cartan subalgebras of Leibniz n-algebras",

abstract = "The present article is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established.",

keywords = "Cartan subalgebra, Leibniz n-algebra, Regular element, n-Lie algebra",

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AU - Albeverio, S.

AU - Ayupov, Sh A.

AU - Omirov, B. A.

AU - Turdibaev, R. M.

PY - 2009/6

Y1 - 2009/6

N2 - The present article is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established.

AB - The present article is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established.

KW - Cartan subalgebra

KW - Leibniz n-algebra

KW - Regular element

KW - n-Lie algebra

UR - https://www.scopus.com/pages/publications/70449604652

U2 - 10.1080/00927870802319406

DO - 10.1080/00927870802319406

M3 - 文章

AN - SCOPUS:70449604652

SN - 0092-7872

VL - 37

SP - 2080

EP - 2096

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Cartan subalgebras of Leibniz n-algebras

Abstract

Keywords

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