Naslov
Quantum heaps, cops and heapy categories

Autori
Škoda, Zoran

Izvornik
Mathematical Communications (1331-0623) 12 (2007); 1-9

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
heap ; cooperations ; Hopf algebra ; cop ; monoidal category ; torsor

Sažetak
A heap is a structure with a ternary operation which is intuitively a group with forgotten unit element. Quantum heaps are associative algebras with a ternary cooperation which are to the Hopf algebras what heaps are to groups, and, in particular, the category of copointed quantum heaps is isomorphic to the category of Hopf algebras. There is an intermediate structure of a cop in monoidal category which is in the case of vector spaces to a quantum heap about what is a coalgebra to a Hopf algebra. The representations of Hopf algebras make a rigid monoidal category. Similarly the representations of quantum heaps make a kind of category with ternary products, which we call a heapy category.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA