normal hopf subalgebras
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Kernels of representations of Drinfeld doubles of finite groups

2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Sebastian Burciu
Keyword(s):  
Hopf Algebra ◽  
Finite Groups ◽  
Fusion Category ◽  
Semisimple Hopf Algebra ◽  
Normal Hopf Subalgebras

AbstractA description of the commutator of a normal subcategory of the fusion category of representation Rep A of a semisimple Hopf algebra A is given. Formulae for the kernels of representations of Drinfeld doubles D(G) of finite groups G are presented. It is shown that all these kernels are normal Hopf subalgebras.

scholarly journals Fusion Rings Arising from Normal Hopf Subalgebras

2009 ◽  
Vol 14 (1) ◽  
pp. 41-55 ◽  
Author(s):  
Sebastian Burciu ◽  
Vicentiu Pasol
Keyword(s):  
Normal Hopf Subalgebras ◽  
Fusion Rings

scholarly journals Normal Hopf subalgebras in cocycle deformations of finite groups

2008 ◽  
Vol 125 (4) ◽  
pp. 501-514 ◽  
Author(s):  
César Galindo ◽  
Sonia Natale
Keyword(s):  
Finite Groups ◽  
Normal Hopf Subalgebras
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