Naslov
Cyclic structures for simplicial objects from comonads

Autori
Škoda, Zoran

Vrsta, podvrsta
Ostale vrste radova, rukopis

Godina
2016

Ključne riječi
comonad ; cyclic cohomology ; distributive law

Sažetak
The simplicial endofunctor induced by a comonad in some category may underly a cyclic object in its category of endofunctors. The cyclic symmetry is then given by a sequence of natural transformations. We write down the commutation relations the first cyclic operator has to satisfy with the data of the comonad. If we add a version of quantum Yang Baxter relation and another relation we actually get a sufficient condition for constructing a sequence of higher cyclic operators in a canonical fashion. A degenerate case of this construction comes from so-called trivial symmetry of an additive comonad.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
AMS classification: 19D55

POVEZANOST RADA