Small representations of finite classical groups
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Publication:1728692
DOI10.1007/978-3-319-59728-7_8zbMath1405.20036arXiv1609.01276OpenAlexW2507699389MaRDI QIDQ1728692
Shamgar Gurevich, Roger E. Howe
Publication date: 25 February 2019
Full work available at URL: https://arxiv.org/abs/1609.01276
Representation theory for linear algebraic groups (20G05) Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)
Related Items (11)
A look at representations of \(\mathrm{SL}_{2}(\mathbb{F}_{q})\) through the lens of size ⋮ On a converse theorem for \({\text{G}}_2\) over finite fields ⋮ Uniqueness of certain Fourier-Jacobi models over finite fields ⋮ Character levels and character bounds for finite classical groups ⋮ Ranks for representations of \(GL_n\) over finite fields, their agreement, and positivity of Fourier transform ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations ⋮ CHARACTER LEVELS AND CHARACTER BOUNDS ⋮ Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes ⋮ Gamma factors and converse theorems for classical groups over finite fields ⋮ Rank and duality in representation theory ⋮ Remarks on the theta correspondence over finite fields
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