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arXiv · 1104.0705

Irreducible characters of GSp(4, q) and dimensions of spaces of fixed vectors

Jeffery Breeding II
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Abstract

In this paper, we compute the conjugacy classes and the list of irreducible characters of GSp(4,q), where q is odd. We also determine precisely which irreducible characters are non-cuspidal and which are generic. These characters are then used to compute dimensions of certain subspaces of fixed vectors of smooth admissible non-supercuspidal representations of GSp(4,F), where F is a non-archimedean local field of characteristic zero with residue field of order q.

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BibTeXRIS

Jeffery Breeding II. 2016-04-24. Irreducible characters of GSp(4, q) and dimensions of spaces of fixed vectors. https://doi.org/10.1007/s11139-014-9622-3

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