On the Hopf (co)center of a Hopf algebra

JOURNAL OF ALGEBRA

卷:464

Article

Chirvasitu, Alexandru¹  Kasprzak, Pawel² 

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

[2] Univ Warsaw, Fac Phys, Dept Math Methods Phys, PL-00325 Warsaw, Poland

关键词: Hopf center;    Hopf cocenter;    Tannaka reconstruction;    Comodule;    Monoidal category;   

DOI  :  10.1016/j.jalgebra.2016.07.002

来源: Elsevier

【 摘 要 】

The notion of Hopf center and Hopf cocenter of a Hopf algebra is investigated by the extension theory of Hopf algebras. We prove that each of them yields an exact sequence of Hopf algebras. Moreover the exact sequences are shown to satisfy the faithful (co)flatness condition. Hopf center and cocenter are computed for U-q(g) and the Hopf algebra Pol(G(q)), where G(q) is the Drinfeld-Jimbo quantization of a compact semisimple simply connected Lie group G and g is a simple complex Lie algebra. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free