Erratum to: Hecke algebras, finite general linear groups, and Heisenberg categorification

By Anthony M. Licata, Alistair Savage. 2011

51 citations recorded by the source corpus.

We define a category of planar diagrams whose Grothendieck group contains an integral version of the infinite rank Heisenberg algebra, thus yielding a categorification of this algebra. Our category, which is a q-deformation of one defined by Khovanov, acts naturally on the categories of modules for Hecke algebras of typeA and finite general linear groups. In this way, we obtain a categorification of the bosonic Fock space. We also develop the theory of parabolic induction and restriction functors for finite groups and prove general results on biadjointness and cyclicity in this setting. Mathematics Subject Classification (2010). Primary: 20C08, 17B65; Secondary: 16D90.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/39ac89acdd83acfed31cda9206b0e352b5248b7a