Induced Characters of Type D Weyl Groups and the Littlewood-Richardson Rule

Abstract

For any ordinary irreducible character of a maximal reflection subgroup of type $D_aD_b$ of a type $D$ Weyl group we give an explicit decomposition of the induced character in terms of Littlewood-Richardson coefficients.Comment: 8 pages; (v2) made some typographical changes and added the type D branching rule as a corollary; (v3) title changed and various other changes made based on referees report. We thank the referee for their careful reading of the manuscript and useful commments; (v4) fixed an annoying bug in the reference