On the semisimplicity of the cyclotomic quiver Hecke algebra of type C

Abstract

We provide criteria for the cyclotomic quiver Hecke algebras of type C to be semisimple. In the semisimple case, we construct the irreducible modules.

13 pages, comments welcome; v2 corrects main theorem by using the natural pairing instead of the invariant bilinear form, and fixes some typos; v3 incorporates suggestions of the referee and is the final version, to appear in Proc. Amer. Math. Soc

References in corpus (2)

• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Generalised column removal for graded homomorphisms between Specht modules

Cited by in corpus (3)

• Specht modules for quiver Hecke algebras of type $C$
• Content systems and deformations of cyclotomic KLR algebras of type $A$ and $C$
• Morita equivalences between cyclotomic KLR algebras in types ${\mathtt{C}}_{\infty }$ and ${\mathtt{A}}_{\infty }$