Double construction for crossed Hopf coalgebras
By Marcos Zunino. 2002
77 citations recorded by the source corpus.
Abstract We provide an analog of the Drinfeld quantum double construction in the context of crossed Hopf group coalgebras introduced by Turaev. We prove that, provided the base group is finite, the double of a semisimple crossed Hopf group coalgebra is both modular and unimodular.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/71a3f86db8b0148b6f233c0fe8e3631575173a2f
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In Algebra and Number Theory
- M. D. Lombaerde
- Stefaan Caenepeel
- Florin Panaite
- Mihai D. Staic
- Marcelo Muniz Silva Alves
- Eliezer Batista
In Geometry and Topology
- M. D. Lombaerde
- Stefaan Caenepeel
- Florin Panaite
- Mihai D. Staic
- Marcelo Muniz Silva Alves
- Eliezer Batista
In Mathematical Physics
- M. D. Lombaerde
- Stefaan Caenepeel
- Florin Panaite
- Mihai D. Staic
- Marcelo Muniz Silva Alves
- Eliezer Batista
Citations in the corpus
- A Categorical Approach to Turaev's Hopf Group-Coalgebras (2004, background): “This was already remarked in Turaev (Preprint); a formal definition has been presented in Zunino (2004a).”
- Group Twisted Smash Products and Doi–Hopf Modules for T -Coalgebras (2004, unknown): “The comultiplication is given via Da;bðh~FÞ ¼ ðfbðhð1;b 1a 1bÞÞ~F 0Þ ðhð2;b 1Þ~F 00Þ; ð4:2Þ for any a; b 2 p;h 2 Hab ¼ Hb 1a 1 , and F 2 L g2p H g (here we recall that D ðFÞ ¼ F 0 F 00, we refer the coopposite inner dual and the notation D to Zunino, 2002a, preprint).”