Symmetric spaces over finite fields, Frobenius-Schur indices, and symmetric function identities (Q2751974)

This paper presents a method to produce Hall-Littlewood symmetric function identities from symmetric spaces over finite fields, and also shows that a special case of such identities leads to a notion of \(q\)-Frobenius-Schur index of an irreducible character of a finite reflection group \(G\). In the case \(G\) is an imprimitive complex reflection group, the author calculates the indices explicitly using a new \(q\)-Cauchy identity for Schur functions.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00054].