KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

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

Tuuelbay Kurbanbaev(Karakalpak State University)0000-0002-9963-872X
Rustam Turdibaev(Uzbekistan Academy of Sciences University)0000-0002-0706-8169
Sayfa
—
Yayın Tarihi
2021-06-07
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

🎯
Amaç & Hipotez:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
📊
Temel Bulgular & Veri:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
💡
Sonuç & Katkı:All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.
🔬Tür:Research Article
📍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.

🔖

Bu Makaleye Atıf Yap

Kurbanbaev, T., Turdibaev, R. (2021). Finite-dimensional Leibniz algebra representations of $\mathfrak{sl}_2$. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.788994

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. D. Barnes, Some Theorems on Leibniz algebras, Comm. Algebra, 39, 2463–2472, 2011.
  2. A. Bloh, On a generalization of the concept of Lie algebra, Dokl. Akad. Nauk SSSR, 165, 471–473, 1965.
  3. A.M. Bloh, A certain generalization of the concept of Lie algebra, Uch. Zap. Moskov. Gos. Ped. Inst. 375, 9–20, 1971 (in Russian).
  4. A.S. Dzhumadil’daev and A.S. Abdukassymova, Leibniz algebras in characteristic p, C.R.Acad.sci.Paris Ser. I Math. 332 (12), 1047–1052, 2001.
  5. P. Gabriel, Unzerlegbare Darstellungen, I, Manuscripta Math. 6, 71–103, 1972.
  6. N. Jacobson, Lie algebras, Interscience Publishers, Wiley, New York, 1962.
  7. T. Kurbanbaev and R. Turdibaev, Some Leibniz bimodules of sl2, J. Algebra Appl. 19 (4), 2050064, 2020.
  8. J.-L. Loday, Cyclic homology, Grundl. Math. Wiss. Bd. 301, Springer-Verlag, Berlin, 1992.
  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.