Universität zu Köln

Fang, Xin and Rosso, Marc (2017). Multi-brace cotensor Hopf algebras and quantum groups. Math. Z., 286 (1-2). S. 657 - 679. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823

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Abstract

We give a construction of the whole quantum group associated to a symmetrizable Kac-Moody Lie algebra as a quantum quasi-symmetric algebra, a particular case of multi-brace cotensor Hopf algebras, in the spirit of the quantum shuffle construction of the plus part. All highest weight irreducible representations are constructed using this machinery. It also provides a systematic way to construct simple modules over the quantum double of a quantum group.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosso, Marc UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-230348
DOI:	10.1007/s00209-016-1777-8
Journal or Publication Title:	Math. Z.
Volume:	286
Number:	1-2
Page Range:	S. 657 - 679
Date:	2017
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1823
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 QUANTIZED ENVELOPING-ALGEBRAS; HALL ALGEBRAS; CLASSIFICATION Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23034