Functors and subcategories of n-exangulated categories

Abstract: Herschend, Liu and Nakaoka introduced $n$-exangulated categories as a higher dimensional analogue of extriangulated categories. Natural examples are given by $n$-exact and $(n+2)$-angulated categories in the sense of Jasso and Geiss–Keller–Oppermann. In this talk, we give a brief introduction to $n$-exangulated categories and explain how we can understand their subcategories in terms of subgroups of the associated Grothendieck group. We also discuss functors between such categories. This is based on joint work in progress with R. Bennett-Tennenhaus, M. H. Sandøy and A. Shah.

category theoryfunctional analysisrepresentation theory

Audience: researchers in the topic

( paper | slides | video )

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Additive categories between algebra and functional analysis

Series comments: Aims & Scope: Exchange ideas and foster collaboration between researchers from representation theory and functional analysis working on categorical aspects of the theory. In addition to research talks, there will be four mini-courses of introductory character.

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