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

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.

arXiv comment48 pages, 21 tables. Corrected an error in Table 16 for type V* representations (theta_11 and theta_12 were switched)

Cited by in corpus (2)

• Parahoric Restriction for GSp(4)
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