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Normal Hopf subalgebras of semisimple Hopf algebras
Author(s):
Sebastian
Burciu
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3969-3979.
MSC (2000):
Primary 16W30
Posted:
July 16, 2009
MathSciNet review:
2538556
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Abstract:
The notion of kernel of a representation of a semisimple Hopf algebra is introduced. Similar properties to those of the kernel of a group representation are proved in some special cases. In particular, every normal Hopf subalgebra of a semisimple Hopf algebra  is the kernel of a representation of  . The maximal normal Hopf subalgebras of  are described.
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Additional Information:
Sebastian
Burciu
Affiliation:
Institute of Mathematics ``Simion Stoilow'' of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania
Email:
smburciu@syr.edu
DOI:
10.1090/S0002-9939-09-09965-1
PII:
S 0002-9939(09)09965-1
Keywords:
Hopf algebras,
normal subalgebras,
central characters
Received by editor(s):
October 18, 2007,
Received by editor(s) in revised form:
March 9, 2009
Posted:
July 16, 2009
Additional Notes:
This research was supported by grant CEx05-D11-11/04.10.05 from the Ministry of Education and Research, Romania
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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