paper

Duality categories

arXiv:1405.3221

Abstract

We define the notion of duality categories as generalization of duality groups. Two examples are treated. The first is the Serre duality in the categories of strict polynomial functors. The second concerns finite complexes. We show in particular that finite Tits buildings are duality categories.

36 pages. English version: revised arguments and additional comments. To appear in Applied Categorical Structures

Duality categories · wovepaper