7 papers
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…
Designing anti-cancer drugs and directing anti-cancer therapy
Elinor Velasquez, Jorge Soto-Andrade, Ben Bongalon
A prototype for a web application was designed and implemented as a guide to be used by clinicians when designing the best drug therapy for a specific cancer patient, given biologi…
On the realization of the Gelfand Character of a finite group as a twisted trace
Jorge Soto-Andrade, M. Francisca Yáñez
We show that the Gelfand character of a finite group (i.e. the sum of all irreducible complex characters of ) may be realized as a `` twisted trace'' $ g \mapsto Tr…
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…