The supercuspidal representations of p-adic classical groups
By Shaun Stevens. 2006
118 citations recorded by the source corpus.
Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell–Kutzko types for these representations. Moreover, we prove that every irreducible supercuspidal representation of G arises from our constructions.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2105c9016c6646a6aefc0aea10c82cc0ce133c0d
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Types for tame p-adic groups (2018, background): “ry of GLn(k). Based on the work for GLn(k), Bushnell and Kutzko ([BK94]) together with Goldberg and Roche ([GR02]) provide types for all Bernstein components for SLn(k). For classical groups Stevens ([Ste08]) has recently provided a construction of supercuspidal representations for p 6= 2 and proved”