On Generalized Weil Representations over Involutive Rings
Representation Theory
2010-09-07 v1 Group Theory
Abstract
We construct via generators and relations, generalized Weil representations for analogues of classical a field, over involutive base rings This family of groups covers different kinds of groups, classical and non classical. We give some examples that include symplectic groups as well as non classical groups like where is the finite modular analogue of the algebra of real m-jets in one dimension with its canonical involutive symmetry.
Cite
@article{arxiv.1009.0877,
title = {On Generalized Weil Representations over Involutive Rings},
author = {Luis Gutiérrez and José Pantoja and Jorge Soto-Andrade},
journal= {arXiv preprint arXiv:1009.0877},
year = {2010}
}
Comments
submitted to Contemporary Mathematics