Simple transitive 2-representations via (Co-)Algebra 1-Morphisms

Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel

http://hdl.handle.net/10400.1/14484

Utilize este identificador para referenciar este registo.

Nome:	Descrição:	Tamanho:	Formato:
14484.pdf		395.52 KB	Adobe PDF	Ver/Abrir

Contacte-nos

Autores

Resumo(s)

For any fiat 2-category C, we show how its simple transitive 2-representations can be constructed using co-algebra 1-morphisms in the injective abelianization of C. Dually, we show that these can also be constructed using algebra 1-morphisms in the projective abelianization of C. We also extend Morita-Takeuchi theory to our setup and work out several examples, including that of Soergel bimodules for dihedral groups, explicitly.

Palavras-chave

Hopf-Algebras Categories Bimodules

URI

http://hdl.handle.net/10400.1/14484

Editora

Indiana Univ Math Journal

DOI

10.1512/iumj.2019.68.7554

Coleções

FCT2-Artigos (em revistas ou actas indexadas)

Métricas Alternativas

Ver registo completo