Cyclic structures for simplicial objects from comonads (CROSBI ID 756540)
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Podaci o odgovornosti
Škoda, Zoran
engleski
Cyclic structures for simplicial objects from comonads
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.
comonad ; cyclic cohomology ; distributive law
AMS classification: 19D55
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Podaci o izdanju
2016.
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