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A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory by Qiang Fu, Jie Du, Bangming Deng

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2

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 images and images discussed in §1.5 to obtain double Ringel–Hall algebras images of cyclic quivers.

The algebras possess a rich structure. First, by using the Schiffmann–Hubery generators and the connection with ...

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