5 papers · 1 filter
Groupoids, Geometric Induction and Gelfand Models
Anne-Marie Aubert, Antonio Behn, Jorge Soto-Andrade
In this paper we introduce an intrinsic version of the classical induction of representations for a subgroup of a (finite) group , called here {\em geometric induction}, whi…
On Generalized Weil Representations over Involutive Rings
Luis Gutiérrez, José Pantoja, Jorge Soto-Andrade
We construct via generators and relations, generalized Weil representations for analogues of classical a field, over involutive base rings This family of…
Geometric Weil representations for star-analogues of SL(2,k)
Luis Gutiérrez-Frez, José Pantoja, Jorge Soto-Andrade
We present here an elementary geometric approach to the construction of Weil representations of the star-analogues a ring or algebra with involution , of th…
Tensor products of irreducible representations of the group G = GL(3,q)
L. Aburto-Hageman, J. Pantoja, J. Soto-Andrade
We describe the tensor products of two irreducible linear complex representations of the finite general linear group G = GL(3,q) in terms of induced representations by linear chara…
Harmonic Analysis on the Finite Twisted Poincaré Upper Half Plane
Jorge Soto-Andrade, Jorge Vargas
We prove that the induced representation from a non trivial character of the Coxeter torus of GL, for a finite field , is multiplicity-free; we give an explicit descripti…