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S L 2 , the cubic and the quartic

Yannis Y. Papageorgiou (1998)

Annales de l'institut Fourier

We describe the branching rule from S p 4 to S L 2 , where the latter is embedded via its action on binary cubic forms. We obtain both a numerical multiplicity formula, as well as a minimal system of generators for the geometric realization of the rule.

Sous-groupes conjugués d'un groupe linéaire

Joseph H. Sampson (1976)

Annales de l'institut Fourier

On démontre qu’un homomorphisme d’un sous-groupe Γ de GL n R dans ce dernier est déterminé à une conjugaison près par son caractère si Γ satisfait à certaines conditions. C’est le cas par exemple d’un sous-groupe discret uniforme de SL n R .

Spetses.

Malle, Gunter (1998)

Documenta Mathematica

Spherical unitary dual of general linear group over non-Archimidean local field

Marko Tadic (1986)

Annales de l'institut Fourier

Let F be a local non-archimedean field. The set of all equivalence classes of irreducible spherical representations of G L ( n , F ) is described in the first part of the paper. In particular, it is shown that each irreducible spherical representation is parabolically induced by an unramified character. Bernstein’s result on the irreducibility of the parabolically induced representations of G L ( n , F ) by irreducible unitary ones, and Ol’shanskij’s construction of complementary series give directly a description of all...

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