Translator Disclaimer
April 2019 The balanced tensor product of module categories
Christopher L. Douglas, Christopher Schommer-Pries, Noah Snyder
Kyoto J. Math. 59(1): 167-179 (April 2019). DOI: 10.1215/21562261-2018-0006

Abstract

The balanced tensor product MAN of two modules over an algebra A is the vector space corepresenting A-balanced bilinear maps out of the product M×N. The balanced tensor product MCN 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×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.

Citation

Download Citation

Christopher L. Douglas. Christopher Schommer-Pries. Noah Snyder. "The balanced tensor product of module categories." Kyoto J. Math. 59 (1) 167 - 179, April 2019. https://doi.org/10.1215/21562261-2018-0006

Information

Received: 1 February 2016; Revised: 5 September 2016; Accepted: 12 January 2017; Published: April 2019
First available in Project Euclid: 3 October 2018

zbMATH: 07081625
MathSciNet: MR3934626
Digital Object Identifier: 10.1215/21562261-2018-0006

Subjects:
Primary: 18D10
Secondary: 13C60

Keywords: Deligne tensor product , Kelly tensor product , module category , tensor category

Rights: Copyright © 2019 Kyoto University

JOURNAL ARTICLE
13 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.59 • No. 1 • April 2019
Back to Top