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http://hdl.handle.net/1942/35562| Title: | Quasi-Hopf algebras of Cartan type and small quasi-quantum groups | Authors: | YANG, Yuping ZHANG, Yinhuo |
Issue Date: | 2021 | Publisher: | American Mathematical Society | Source: | Andruskiewitsch, Nicolás; Liu, Gongxiang; Montgomery, Susan; Zhang, Yinhuo (Ed.). Hopf Algebras, Tensor Categories and Related Topics, American Mathematical Society, p. 333 -359 | Series/Report: | Contemporary Mathematics | Series/Report no.: | 771 | Abstract: | In this paper, we construct a class of finite-dimensional quasi-Hopf algebras from liftings of pointed Hopf algebras. These quasi-Hopf algebras are presented by generators and relations. Several proper classes of these quasi-Hopf algebras are proved genuine, i.e. not twist equivalent to Hopf algebras. As special cases, we introduce the small quasi-quantum groups which show to be the natural generalizations of the small quantum groups. | Document URI: | http://hdl.handle.net/1942/35562 | ISBN: | 9781470464271 9781470467852 9781470456245 |
ISSN: | 0271-4132 | DOI: | 10.1090/conm/771/15518 | Category: | B2 | Type: | Book Section |
| Appears in Collections: | Research publications |
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| Quasi-Hopf algebras of Cartan type and small quasi-quantum groups.pdf Restricted Access | Published version | 375.17 kB | Adobe PDF | View/Open Request a copy |
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