Hopf algebras and congruence subgroups

We prove that the kernel of the natural action of the modular group on the center of the Drinfel'd double of a semisimple Hopf algebra is a congruence subgroup. To do this, we introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is co...

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Detalles Bibliográficos
Autores principales: Sommerhauser, Yorck, Zhu, Yongchang
Lenguaje:eng
Publicado: American Mathematical Society 2007
Materias:
math.RA
Acceso en línea:https://dx.doi.org/10.1090/S0065-9266-2012-00649-6
http://cds.cern.ch/record/1060655
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author Sommerhauser, Yorck
Zhu, Yongchang
author_facet Sommerhauser, Yorck
Zhu, Yongchang
author_sort Sommerhauser, Yorck
collection CERN
description We prove that the kernel of the natural action of the modular group on the center of the Drinfel'd double of a semisimple Hopf algebra is a congruence subgroup. To do this, we introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
publisher American Mathematical Society
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spelling cern-10606552019-09-30T06:29:59Zdoi:10.1090/S0065-9266-2012-00649-6http://cds.cern.ch/record/1060655engSommerhauser, YorckZhu, YongchangHopf algebras and congruence subgroupsmath.RAWe prove that the kernel of the natural action of the modular group on the center of the Drinfel'd double of a semisimple Hopf algebra is a congruence subgroup. To do this, we introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.American Mathematical SocietyarXiv:0710.0705oai:cds.cern.ch:10606552007-10-04
spellingShingle math.RA
Sommerhauser, Yorck
Zhu, Yongchang
Hopf algebras and congruence subgroups
title Hopf algebras and congruence subgroups
title_full Hopf algebras and congruence subgroups
title_fullStr Hopf algebras and congruence subgroups
title_full_unstemmed Hopf algebras and congruence subgroups
title_short Hopf algebras and congruence subgroups
title_sort hopf algebras and congruence subgroups
topic math.RA
url https://dx.doi.org/10.1090/S0065-9266-2012-00649-6
http://cds.cern.ch/record/1060655
work_keys_str_mv AT sommerhauseryorck hopfalgebrasandcongruencesubgroups
AT zhuyongchang hopfalgebrasandcongruencesubgroups

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