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:
CreatorsEmailORCIDORCID Put Code
Fang, XinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Jian, Run-QiangUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
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:
KeywordsLanguage
SHUFFLE PRODUCTS; QUANTUM GROUPSMultiple languages
Mathematics, Applied; MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/39611

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