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

## TL;DR

This paper establishes criteria for when cyclotomic quiver Hecke algebras of type C are semisimple and constructs their irreducible modules in that case.

## Contribution

It provides the first explicit criteria for semisimplicity of these algebras and constructs irreducible modules when they are semisimple.

## Key findings

- Criteria for semisimplicity of type C cyclotomic quiver Hecke algebras
- Construction of irreducible modules in the semisimple case
- Characterization of semisimplicity conditions

## 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.