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Spetses.

Malle, Gunter (1998)

Documenta Mathematica

Sphere equivalence, Property H, and Banach expanders

Qingjin Cheng (2016)

Studia Mathematica

We study the uniform classification of the unit spheres of general Banach sequence spaces. In particular, we obtain some interesting applications involving Property H introduced by Kasparov and Yu, and Banach expanders.

Spherical conjugacy classes and the Bruhat decomposition

Giovanna Carnovale (2009)

Annales de l’institut Fourier

Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G as those intersecting only Bruhat cells in G corresponding to involutions in the Weyl group of  G .

Spherical functions and uniformly bounded representations of free groups

Tadeusz Pytlik (1991)

Studia Mathematica

We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.

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...

Spherical varieties and Wahl’s conjecture

Nicolas Perrin (2014)

Annales de l’institut Fourier

Using the theory of spherical varieties, we give a type independent very short proof of Wahl’s conjecture for cominuscule homogeneous varieties for all primes different from 2.

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