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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

Finite-dimensional Leibniz algebra representations of $\mathfrak{sl}_2$

Tuuelbay KURBANBAEV
Rustam TURDIBAEV
Sayfa
845–854
Yayın Tarihi
2022-10-18
DOI
—
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All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
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Temel Bulgular & Veri:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
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Sonuç & Katkı:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Leibniz algebra · Leibniz algebra bimodule · Finite-dimensional Leibniz algebra

Abstract

All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.

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Bu Makaleye Atıf Yap

KURBANBAEV, T., TURDIBAEV, R. (2022). Finite-dimensional Leibniz algebra representations of $\mathfrak{sl}_2$. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 845–854. https://ajindex.com/articles/529477

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Kaynakça (11)

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  9. J.-L. Loday and T. Pirashvili, Universal enveloping algebras of Leibniz algebras and (co)homology, Math. Ann. 296, 139–158, 1993
  10. J.-L. Loday and T. Pirashvili, Leibniz representations of Lie algebras, J. Algebra, 181 (2), 414–425, 1996
  11. R. Martinez-Villa, Algebras Stably Equivalent to l-Hereditary, Springer Lecture Notes in Math., 832, pp. 396–431, Springer-Verlag, New York/Berlin, 1980.