Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras

Abstract

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.

26pages

References in corpus (3)

• 2-Kac-Moody algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Categorification of Highest Weight Modules via Khovanov-Lauda-Rouquier Algebras

Cited by in corpus (5)

• An odd categorification of quantum sl(2)
• Supercategorification of quantum Kac-Moody algebras II
• On the structure of cyclotomic nilHecke algebras
• p-DG cyclotomic nilHecke algebras
• Representation type of finite quiver Hecke algebras of type $A_{2\ell }^{(2)}$