INVESTIGADORES
VARGAS jorge Antonio
artículos
Título:
On the construction of a finite Siegel space
Autor/es:
PANTOJA, SOTO ANDRADE, VARGAS
Revista:
JOURNAL OF LIE THEORY
Editorial:
HELDERMANN VERLAG
Referencias:
Lugar: Lemgo; Año: 2015 vol. 25 p. 1045 - 1071
ISSN:
0949-5932
Resumen:
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 described as the space of Lagrangians of a $2n$ dimensional space over a quadratic extension $E$ of a finite base field $F$. The orbits of the action of the symplectic group $Sp(n,F)$ on Lagrangians are described as homogeneous spaces. Also, Siegel´s Space is described as the set of anti-involutions of the symplectic group.
