arXiv subjects

Jeffery Breeding II

Publications and source records attributed to Jeffery Breeding II.

2 recordsLinked to original sources

arXiv2016

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

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.

math.RT↗

arXiv2012

Dimensions of spaces of Siegel cusp forms of degree 2

We give a summary of results for dimensions of spaces of cuspidal Siegel modular forms of degree 2. These results together with a list of dimensions of the irreducible representations of the finite groups GSp(4,Fp) are then used to produce bounds for dimensions of spaces of newforms with respect to principal congruence subgroups of odd square-free level.

math.RT↗