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Linear Algebraic Groups
We give a summary, without proofs, of basic properties of linear algebraic groups, with particular emphasis on reductive algebraic groups.
Distinguished tame supercuspidal representations
In these notes, we describe some examples of distinguished tame supercuspidal representations of reductive p-adic groups. We also discuss some general results about distinguished tame supercuspidalExpand
Globalization of Distinguished Supercuspidal Representations of GL(n)
Abstract An irreducible supercuspidal representation $\pi$ of $G\,=\,\text{GL}\left( n,\,F \right)$ , where $F$ is a nonarchimedean local field of characteristic zero, is said to be “distinguished”Expand
Characters of supercuspidal representations of classical groups
In this paper we derive a Kirillov type character formula for irreducible supercuspidal representations of p-adic orthogonal, symplectic and unitary groups. This formula is valid on a neighbourhoodExpand
Tame Supercuspidal Representations of GL(n) Distinguished by a Unitary Group
This paper analyzes the space HomH(π, 1), where π is an irreducible, tame supercuspidal representation of GL(n) over a p-adic field and H is a unitary group in n variables contained in GL(n). It isExpand
GERMS OF CHARACTERS OF ADMISSIBLE REPRESENTATIONS OF p-ADIC GENERAL LINEAR GROUPS
  • F. Murnaghan
  • Mathematics
  • Journal of the Institute of Mathematics of…
  • 1 July 2003
Let $G=GL_n(F)$, where $F$ is a $p$-adic field of characteristic zero and residual characteristic $p$. Assuming that $p>2n$, we compare germs of characters of irreducible admissible representationsExpand
Local character expansions for supercuspidal representations of ${ m U}(3)$
The topic of this paper is the relationship between characters of irreducible supercuspidal representations of the/?-adic unramified 3 x 3 unitary group and Fourier transforms of invariant measuresExpand
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