Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra

Luisa M. Camacho; Manuel Ladra; Iqboljon A. Karimjanov; Bakhrom A. Omirov

doi:10.1088/1742-6596/697/1/012006

Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra

Luisa M. Camacho
, Manuel Ladra
, Iqboljon A. Karimjanov
, Bakhrom A. Omirov

University of Seville
University of Santiago de Compostela
National University of Uzbekistan named after Mirzo Ulugbek

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by squares of elements is represented by one of the finite-dimensional indecomposable D-modules U_n ¹, U_n ² or W_n ¹ or W_n ².

Original language	English
Article number	012006
Journal	Journal of Physics: Conference Series
Volume	697
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/697/1/012006
State	Published - 24 Mar 2016
Externally published	Yes
Event	International Conference on Algebra, Analysis and Quantum Probability - Tashkent, Uzbekistan Duration: 10 Sep 2015 → 12 Sep 2015

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10.1088/1742-6596/697/1/012006

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title = "Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra",

abstract = "In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by squares of elements is represented by one of the finite-dimensional indecomposable D-modules Un 1, Un 2 or Wn 1 or Wn 2.",

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AU - Camacho, Luisa M.

AU - Ladra, Manuel

AU - Karimjanov, Iqboljon A.

AU - Omirov, Bakhrom A.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2016/3/24

Y1 - 2016/3/24

N2 - In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by squares of elements is represented by one of the finite-dimensional indecomposable D-modules Un 1, Un 2 or Wn 1 or Wn 2.

AB - In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by squares of elements is represented by one of the finite-dimensional indecomposable D-modules Un 1, Un 2 or Wn 1 or Wn 2.

UR - https://www.scopus.com/pages/publications/84964649128

U2 - 10.1088/1742-6596/697/1/012006

DO - 10.1088/1742-6596/697/1/012006

M3 - 会议文章

AN - SCOPUS:84964649128

SN - 1742-6588

VL - 697

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012006

T2 - International Conference on Algebra, Analysis and Quantum Probability

Y2 - 10 September 2015 through 12 September 2015

ER -

Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra

Abstract

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