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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Enveloping algebras of color hom-Lie algebras

Sergei SILVESTROV
Abdoreza ARMAKAN
Mohammad Reza FARHADPOOR
Sayfa
316–339
Yayın Tarihi
2022-11-04
DOI
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Finally, the construction is applied to obtain the well-known Poincaré–Birkhoff–Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the universal enveloping algebra of color hom-Lie algebras is studied.
📊
Temel Bulgular & Veri:A construction of the freeinvolutive hom-associative color algebra on a hom-module is described and applied to obtain the universal envelopingalgebra of an involutive hom-Lie color algebra.
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Sonuç & Katkı:Finally, the construction is applied to obtain the well-known Poincaré–Birkhoff–Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the freeinvolutive hom-associative color algebra on a hom-module is described and applied to obtain the universal envelopingalgebra of an involutive hom-Lie color algebra. Finally, the construction is applied to obtain the well-known Poincaré–Birkhoff–Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.

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Bu Makaleye Atıf Yap

SILVESTROV, S., ARMAKAN, A., FARHADPOOR, M. R. (2022). Enveloping algebras of color hom-Lie algebras. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 316–339. https://ajindex.com/articles/607599

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Kaynakça (17)

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