Specht Modules for Quiver Hecke Algebras of Type

  • Susumu Ariki

    Osaka University, Japan
  • Euiyong Park

    University of Seoul, Republic of Korea
  • Liron Speyer

    University of Virginia, Charlottesville, USA
Specht Modules for Quiver Hecke Algebras of Type $C$ cover

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Abstract

We construct and investigate Specht modules for cyclotomic quiver Hecke algebras of types and , which are labelled by multipartitions . It is shown that in type , the Specht module has a homogeneous basis indexed by standard tableaux of shape , which yields a graded character formula and good properties with the exact functors and . For type , we propose a conjecture.

Cite this article

Susumu Ariki, Euiyong Park, Liron Speyer, Specht Modules for Quiver Hecke Algebras of Type . Publ. Res. Inst. Math. Sci. 55 (2019), no. 3, pp. 565–626

DOI 10.4171/PRIMS/55-3-4