activity
20092021
most citedOn the construction of a finite Siegel space

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.GR2021

over local and adèle rings: -euclideanity and Bruhat generators

Luis Gutiérrez Frez, Luis Lomelí, José Pantoja

Let be a ring with involution and let be the matrix ring endowed with the -transpose involution. We study and the question of Bruhat…

math.RT2015★ 1 cited

Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution

Luis Gutiérrez Frez, José Pantoja

We construct a complex linear Weil representation of the generalized special linear group (, the quadratic extension…

math.RT2014★ 1 cited

On the construction of a finite Siegel space

Jorge Soto Andrade, Jose Pantoja, Jorge A. Vargas

In this note we construct a finite analogue of classical Siegel's Space. Our approach is to look at it as a non commutative Poincare's half plane. The finite Siegel Space is descri…

math.RT2010

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…

math.RT2010

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…

math.RT2009

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…