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On cohomological deformations of bicrossed product Hopf algebras

Published online by Cambridge University Press:  17 April 2009

Jeong Hee Hong  and
Wojciech Szymański
Jeong Hee Hong
Affiliation:
Department of Applied MathematicsKorea Maritime UniversityPusan 606-791Korea e-mail: [email protected]
Wojciech Szymański
Affiliation:
Department of MathematicsThe University of NewcaslteNewcastle NSW 2308Australia e-mail: [email protected]
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Abstract

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We construct and describe two classes of examples of twisted bicrossed product Hopf algebras corresponding to matched pairs of finite groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 365 - 375
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Enock, M. and Vainerman, L., ‘Deformation of the Kac algebra by an Abelian subgroup’, Comm. Math. Phys. 178 (1996), 571–596.CrossRefGoogle Scholar
[2]Hong, J.H. and Kosaki, H., ‘The group of one dimensional bimodules arising from composition of subfactors’, J. Math. Soc. Japan (to appear).Google Scholar
[3]Hong, J.H. and Szymański, W., ‘Composition of subfactors and twisted bicrossed products’, J. Operator Theory 37 (1997), 281–302.Google Scholar
[4]Izumi, M. and Kosaki, H., ‘Finite-dimensional Kac algebras arising from certain group actions on a factor’, Internat. Math. Res. Notices 8 (1996), 357–370.CrossRefGoogle Scholar
[5]Kac, G.I., ‘Extensions of groups to ring groups’, Math. USSR-Sb. 5 (1968), 451–474.CrossRefGoogle Scholar
[6]Majid, S., Foundations of quantum group theory (Cambridge University Press, Cambridge, 1995).CrossRefGoogle Scholar
[7]Masuoka, A., ‘Calculations of some groups of Hopf algebra extensions’, J. Algebra 191 (1997), 568–588.CrossRefGoogle Scholar
[8]Masuoka, A., ‘Twisted forms and cohomology of Hopf algebra extensions’, (preprint).Google Scholar
[19]Nikshych, D., ‘K 0-rings and twisting of finite dimensional semisimple Hopf algebras’, (preprint).Google Scholar
[10]Vainerman, L., ‘2-cocycles and twisting of Kac algebras’, Comm. Math. Phys. 191 (1998), 397–721.CrossRefGoogle Scholar
[11]Wang, S., ‘Rieffel type discrete deformation of finite quantum groups’, (preprint).Google Scholar