Double Ringel–Hall algebras of cyclic quivers
A Drinfeld double refers to a construction of gluing two Hopf algebras via a skew-Hopf pairing between them to obtain a new Hopf algebra. We apply this construction in §2.1 to the extended Ringel–Hall algebras and discussed in §1.5 to obtain double Ringel–Hall algebras of cyclic quivers.
The algebras possess a rich structure. First, by using the Schiffmann–Hubery generators and the connection with ...