Hom-Lie-Hopf algebras
Yükleniyor...
Dosyalar
Tarih
2020-07-01
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (α,β)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which are of (α,Id)-type. We show that the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras form a matched pair of Hom-Hopf algebras. We observe also that, the semi-dualization of a double cross product Hom-Hopf algebra is a bicrossproduct Hom-Hopf algebra. In particular, we apply this result to the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras to obtain Hom-Lie-Hopf algebras.
Açıklama
Anahtar Kelimeler
Algebra, Bicrossproduct, Double cross product, Hom-Hopf algebras, Hom-Lie algebras, Lie algebra, Split regular
Kaynak
Journal of Algebra
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
553
Sayı
Künye
Halıcı, S., Karataş, A. & Sütlü, S. S. (2020). Hom-lie-hopf algebras. Journal of Algebra, 553, 26-88. doi:10.1016/j.jalgebra.2020.01.022
