Monoidal 2-structure of Bimodule Categories - Mathematics > Quantum AlgebraReportar como inadecuado




Monoidal 2-structure of Bimodule Categories - Mathematics > Quantum Algebra - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We define a notion of tensor product of bimodule categories and prove thatwith this product the 2-category of C-bimodule categories for fixed tensor C isa monoidal 2-category in the sense of Kapranov and Voevodsky. We then provide amonoidal-structure preserving 2-equivalence between the 2-category ofC-bimodule categories and ZC-module categories module categories over thecenter. For finite group G we show that de-equivariantization is equivalent totensor product over category RepG of finite dimensional representations. Wederive RepG-module fusion rules and determine the group of invertibleirreducible RepG-module categories extending earlier results for abeliangroups.



Autor: Justin Greenough

Fuente: https://arxiv.org/







Documentos relacionados