Specht modules for Quiver Hecke algebras of type C

We construct and investigate Specht modules S^λ for cyclotomic quiver Hecke algebras of types C⁽¹⁾ ℓ and C_∞, which are labelled by multipartitions λ. It is shown that in type C_∞, the Specht module S^λ has a homogeneous basis indexed by standard tableaux of shape λ, which yields a graded character formula and good properties with the exact functors Ei^Λ and Fi^Λ. For type C⁽¹⁾ ℓ, we propose a conjecture.