A Quillen model for classical Morita theory and a tensor categorification of the Brauer group

Gonçalo Jorge Trigo Neri Tabuada

doi:10.1016/j.jpaa.2014.04.004

A Quillen model for classical Morita theory and a tensor categorification of the Brauer group

Gonçalo Jorge Trigo Neri Tabuada

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Let K be a commutative ring. In this article we construct a symmetric monoidal Quillen model structure on the category of small K-categories which enhances classical Morita theory. We then use it in order to obtain a natural tensor categorification of the Brauer group and of its functoriality.

Original language	Unknown
Pages (from-to)	2337-2355
Journal	Journal of Pure and Applied Algebra
Volume	218
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2014.04.004
Publication status	Published - 1 Jan 2014

Access to Document

10.1016/j.jpaa.2014.04.004

Cite this

@article{48545efa7fc84f5491e16989e7a996f2,

title = "A Quillen model for classical Morita theory and a tensor categorification of the Brauer group",

abstract = "Let K be a commutative ring. In this article we construct a symmetric monoidal Quillen model structure on the category of small K-categories which enhances classical Morita theory. We then use it in order to obtain a natural tensor categorification of the Brauer group and of its functoriality.",

keywords = "Morita theory, Quillen model structure, Brauer group, Picard group",

author = "Tabuada, {Gon{\c c}alo Jorge Trigo Neri}",

year = "2014",

month = jan,

day = "1",

doi = "10.1016/j.jpaa.2014.04.004",

language = "Unknown",

volume = "218",

pages = "2337--2355",

journal = "Journal of Pure and Applied Algebra",

number = "12",

}

TY - JOUR

T1 - A Quillen model for classical Morita theory and a tensor categorification of the Brauer group

AU - Tabuada, Gonçalo Jorge Trigo Neri

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Let K be a commutative ring. In this article we construct a symmetric monoidal Quillen model structure on the category of small K-categories which enhances classical Morita theory. We then use it in order to obtain a natural tensor categorification of the Brauer group and of its functoriality.

AB - Let K be a commutative ring. In this article we construct a symmetric monoidal Quillen model structure on the category of small K-categories which enhances classical Morita theory. We then use it in order to obtain a natural tensor categorification of the Brauer group and of its functoriality.

KW - Morita theory

KW - Quillen model structure

KW - Brauer group

KW - Picard group

U2 - 10.1016/j.jpaa.2014.04.004

DO - 10.1016/j.jpaa.2014.04.004

M3 - Article

VL - 218

SP - 2337

EP - 2355

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 12

ER -