The classification of filiform Leibniz superalgebras of nilindex n + m

Sh A. Ayupov; B. A. Omirov; A. Kh Khudoyberdiyev

doi:10.1007/s10114-008-6341-y

The classification of filiform Leibniz superalgebras of nilindex n + m

Sh A. Ayupov
, B. A. Omirov
, A. Kh Khudoyberdiyev

Academy Sciences of Uzbekistan
National University of Uzbekistan named after Mirzo Ulugbek

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

16 Scopus citations

Abstract

In this work the classification of filiform Leibniz superalgebras of nilindex n m, where n and m (m ≠ 0) are dimensions of even and odd parts, respectively, is obtained.

Original language	English
Pages (from-to)	171-190
Number of pages	20
Journal	Acta Mathematica Sinica, English Series
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s10114-008-6341-y
State	Published - Feb 2009
Externally published	Yes

Keywords

Characteristic sequence
Leibniz superalgebras
Lie superalgebras
Nilpotency

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10.1007/s10114-008-6341-y

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title = "The classification of filiform Leibniz superalgebras of nilindex n + m",

abstract = "In this work the classification of filiform Leibniz superalgebras of nilindex n m, where n and m (m ≠ 0) are dimensions of even and odd parts, respectively, is obtained.",

keywords = "Characteristic sequence, Leibniz superalgebras, Lie superalgebras, Nilpotency",

author = "Ayupov, \{Sh A.\} and Omirov, \{B. A.\} and Khudoyberdiyev, \{A. Kh\}",

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AU - Ayupov, Sh A.

AU - Omirov, B. A.

AU - Khudoyberdiyev, A. Kh

PY - 2009/2

Y1 - 2009/2

N2 - In this work the classification of filiform Leibniz superalgebras of nilindex n m, where n and m (m ≠ 0) are dimensions of even and odd parts, respectively, is obtained.

AB - In this work the classification of filiform Leibniz superalgebras of nilindex n m, where n and m (m ≠ 0) are dimensions of even and odd parts, respectively, is obtained.

KW - Characteristic sequence

KW - Leibniz superalgebras

KW - Lie superalgebras

KW - Nilpotency

UR - https://www.scopus.com/pages/publications/60449091673

U2 - 10.1007/s10114-008-6341-y

DO - 10.1007/s10114-008-6341-y

M3 - 文章

AN - SCOPUS:60449091673

SN - 1439-8516

VL - 25

SP - 171

EP - 190

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 2

ER -

The classification of filiform Leibniz superalgebras of nilindex n + m

Abstract

Keywords

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