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arXiv:1104.0705 [math.RT]AbstractReferencesReviewsResources

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

Jeffery Breeding II

Published 2011-04-04, updated 2016-04-24Version 2

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.

Comments: 48 pages, 21 tables. Corrected an error in Table 16 for type V* representations (theta_11 and theta_12 were switched)
Journal: Ramanujan J. 36 (2015), no. 3, 305-354
Categories: math.RT, math.NT
Subjects: 11F46, 11F70, 11F85
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