Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras

摘要

We construct all the irreducible representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras osp(1 vertical bar 2n), and show that their highest weights are given by the dominant words. We use the dominant Lyndon words to construct the cuspidal modules and show that the irreducible representations are the simple heads of standard representations constructed by induction from the cuspidal modules. (C) 2016 Elsevier B.V. All rights reserved.