What is a tensor product internally?
(2013) Nord Pas de Calais/Belgium Congress of Mathematics — Location: Mons, Valenciennes (28.October.2013)
Files
tvdlinde-talk.pdf
Open Access - Adobe PDF
- 147.85 KB
Details
- Authors
- Abstract
- The concept of tensor product is of prime importance in homo- logical algebra and beyond. When it is studied from a categorical perspective, it is usually treated either as additional structure on a category — which leads to the theory of monoidal and enriched categories — or in an ad-hoc way involving free algebras of some kind. Quite surprisingly, as yet no internal categorical construction in terms of limits and colimits has been proposed. The aim of my talk is to do precisely this. I will first state a general construction of such an intrinsic tensor product, based on the work in the context of semi-abelian categories. Then I will give an overview of the main examples and sketch some applications. This is joint work with Manfred Hartl.
- Affiliations
Citations
Van der Linden, T. (2013). What is a tensor product internally? Nord Pas de Calais/Belgium Congress of Mathematics, Mons, Valenciennes. https://hdl.handle.net/2078.5/62594