Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras

Details Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras

2011-11-25

arxiv.org/abs/1111.5898v1

Mathematics

Representation Theory

26pages

Scientific paper

We prove that the simple root functors E and F appearing in the
categorification of irreducible highest weight modules of quantum groups via
cyclotomic Khovanov-Lauda-Rouquier algebras is a biadjoint pair.

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