Work

Descent and forms of tensor categories

Year: 2011

Type: preprint

Abstract: We develop a theory of descent and forms of tensor categories over arbitrary fields. We describe the general scheme of classification of such forms using algebraic and homotopical language, and give examples of explicit classification of forms. We also discuss the problem of categorification of weak fusion rings, and for the simplest families of such rings, determine which ones are categorifiable.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1102.0657

Authors: Etingof, Pavel, Gelaki, Shlomo

Institutions: Technion – Israel Institute of Technology, Massachusetts Institute of Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949247457

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