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Fang, Xin and Jian, Run-Qiang (2015). Cofree Hopf algebras on Hopf bimodule algebras. J. Pure Appl. Algebr., 219 (9). S. 3913 - 3931. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1873-1376

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Abstract

We investigate a Hopf algebra structure on the cotensor coalgebra associated to a Hopf bimodule algebra which contains universal version of Clifford algebras and quantum groups as examples. It is shown to be the bosonization of the quantum quasi-shuffle algebra built on the space of its right coinvariants. The universal property and a Rota Baxter algebra structure are established on this new algebra. (C) 2014 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Jian, Run-Qiang UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-396117
DOI:	10.1016/j.jpaa.2014.12.028
Journal or Publication Title:	J. Pure Appl. Algebr.
Volume:	219
Number:	9
Page Range:	S. 3913 - 3931
Date:	2015
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1873-1376
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SHUFFLE PRODUCTS; QUANTUM GROUPS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/39611