SAMS Subject Classification Number: 4

There are various known notions of satellites of functors at various levels of generality, one of which, originally introduced in [1], is simply a modified version of the notion of Kan extension. The purpose of this talk is to show how a very special case of it is related to the weak form of action representability introduced in [2].

[1] G. Janelidze, On satellites in arbitrary categories, Bull. Georgian Acad. Sci. 82, 3 (1976), 529–532 (in Russian; English translation: arXiv:0809.1504)

[2] G. Janelidze, Central extensions of associative algebras and weakly action representable categories, arXiv:2206.02744 (2022)