Making nontrivially associated modular categories from finite groups
2004 ◽
Vol 2004
(42)
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pp. 2231-2264
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Keyword(s):
We show that the double𝒟of the nontrivially associated tensor category constructed from left coset representatives of a subgroup of a finite groupXis a modular category. Also we give a definition of the character of an object in this category as an element of a braided Hopf algebra in the category. This definition is shown to be adjoint invariant and multiplicative on tensor products. A detailed example is given. Finally, we show an equivalence of categories between the nontrivially associated double𝒟and the trivially associated category of representations of the Drinfeld double of the groupD(X).
2021 ◽
Vol 14
(3)
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pp. 816-828
Keyword(s):
1969 ◽
Vol 10
(3-4)
◽
pp. 359-362
1989 ◽
Vol 12
(2)
◽
pp. 263-266
Keyword(s):
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2021 ◽
Vol 58
(2)
◽
pp. 147-156
Keyword(s):
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1997 ◽
Vol 40
(2)
◽
pp. 243-246
Keyword(s):
2008 ◽
Vol 07
(06)
◽
pp. 735-748
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Keyword(s):