Generalized braided Hopf algebras

The concept of (f, σ)-pair (B, H)is introduced, where B and H are Hopf algebras. A braided tensor category which is a tensor subcategory of the category ^HM of left H-comodules through an (f, σ)-pair is constructed. In particularly, a Yang-Baxter equation is got. A Hopf algebra is constructed as wel...

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2009-03, Vol.24 (1), p.105-113
Hauptverfasser: Lu, Zhong-jian, Fang, Xiao-li
Format: Artikel
Sprache:eng
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Zusammenfassung:The concept of (f, σ)-pair (B, H)is introduced, where B and H are Hopf algebras. A braided tensor category which is a tensor subcategory of the category ^HM of left H-comodules through an (f, σ)-pair is constructed. In particularly, a Yang-Baxter equation is got. A Hopf algebra is constructed as well in the Yetter-Drinfel'd category H^HYD by twisting the multiplication of B.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-009-1844-6