Specht modules for Quiver Hecke algebras of type C

Susumu Ariki, Euiyong Park, Liron Speyer

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We construct and investigate Specht modules Sλ 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 Sλ has a homogeneous basis indexed by standard tableaux of shape λ, which yields a graded character formula and good properties with the exact functors EiΛ and FiΛ. For type C(1) ℓ, we propose a conjecture.

Original languageEnglish
Pages (from-to)565-626
Number of pages62
JournalPublications of the Research Institute for Mathematical Sciences
Issue number3
StatePublished - 2019


  • Categorification
  • Cyclotomic quiver Hecke algebras
  • Specht modules


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