The balanced tensor product of module categories

Autor:	Douglas, Christopher L., Schommer-Pries, Christopher, Snyder, Noah
Rok vydání:	2014
Předmět:	Mathematics - Quantum Algebra Mathematics - Category Theory 18D10
Zdroj:	Kyoto J. Math. 59, no. 1 (2019), 167-179
Druh dokumentu:	Working Paper
DOI:	10.1215/21562261-2018-0006
Popis:	The balanced tensor product M (x)_A N of two modules over an algebra A is the vector space corepresenting A-balanced bilinear maps out of the product M x N. The balanced tensor product M [x]_C N of two module categories over a monoidal linear category C is the linear category corepresenting C-balanced right-exact bilinear functors out of the product category M x N. We show that the balanced tensor product can be realized as a category of bimodule objects in C, provided the monoidal linear category is finite and rigid. Comment: 19 pages; v3 is author-final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1406.4204 Zobrazit plný text záznamu View this record from Arxiv