Model theory and the Tannakian formalism

Autor:	Moshe Kamensky
Rok vydání:	2009
Předmět:	Mathematics::Category Theory FOS: Mathematics 03C65 20G05 Mathematics - Category Theory Category Theory (math.CT) Mathematics - Logic Representation Theory (math.RT) Logic (math.LO) Mathematics - Representation Theory
Zdroj:	Scopus-Elsevier
DOI:	10.48550/arxiv.0908.0604
Popis:	We draw the connection between the model theoretic notions of internality and the binding group on one hand, and the Tannakian formalism on the other. More precisely, we deduce the fundamental results of the Tannakian formalism by associating to a Tannakian category a first order theory, and applying the results on internality there. We also formulate the notion of a differential tensor category, and a version of the Tannakian formalism for differential linear groups, and show how the same techniques can be used to deduce the analogous results in that context. Comment: 25 pages. Paper reorganised, some of the main results are stated more clearly. The part going in the other direction (deducing the model theoretic statement using category theory) moved to arxiv:1012.3185
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edc79fb1d0a20b0443a71856d445511d Zobrazit plný text záznamu