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https://hdl.handle.net/11499/37093| Title: | Hom-Lie-Hopf algebras | Authors: | Halıcı, Serpil Karataş, Adnan Sütlü, S. |
Keywords: | Bicrossproduct Double cross product Hom-Hopf algebras Hom-Lie algebras |
Publisher: | Academic Press Inc. | Abstract: | We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (?,ß)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which are of (?,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. © 2020 Elsevier Inc. | URI: | https://hdl.handle.net/11499/37093 https://doi.org/10.1016/j.jalgebra.2020.01.022 |
ISSN: | 0021-8693 |
| Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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