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Braided Drinfeld and Heisenberg Doubles
Laugwitz, Robert...

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Braided Drinfeld and Heisenberg Doubles by Laugwitz, Robert ( Author )
Lemonjar Open Access
N.A
01-01-2014
In this paper, the Drinfeld center of a monoidal category is generalized to a class of mixed Drinfeld centers. This gives a unified picture for the Drinfeld center and a natural Heisenberg analogue. Further, there is an action of the former on the latter. This picture is translated to a description in terms of Yetter-Drinfeld and Hopf modules over quasi-bialgebras in a braided monoidal category. Via braided reconstruction theory, intrinsic definitions of braided Drinfeld and Heisenberg doubles are obtained, together with a generalization of the result in [Lu94] that the Heisenberg double is a 2-cocycle twist of the Drinfeld double for general braided Hopf algebras.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1410.4517
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