Evaluation 2-functors for Kac–Moody
2-categories of type A2

Mackaay, Marco; Macpherson, James; Vaz, Pedro

http://hdl.handle.net/10400.1/29171

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Autores

Mackaay, Marco

Macpherson, James

Vaz, Pedro

Resumo(s)

We construct a 2-functor from the Kac–Moody 2-category for the extended quantum affine sl3 to the homotopy 2-category of bounded chain complexes with values in the Kac–Moody 2-category for quantum gl3 , categorifying the evaluation map between the corresponding quantum Kac–Moody algebras. Our approach establishes and exploits a categorical analogue of the wellknown relation between the evaluation map and Lusztig’s internal braid group action for quantum gl3 .