Heisenberg groups and their automorphisms over algebras with central involution
Mathematical Physics
2015-09-30 v1 math.MP
Quantum Physics
Abstract
Heisenberg groups over algebras with central involution and their automorphism groups are constructed. The complex quaternion group algebra over a prime field is used as an example. Its subspaces provide finite models for each of the real and complex quadratic spaces with dimension 4 or less. A model for the representations of these Heisenberg groups and automorphism groups is constructed. A pseudo-differential operator enables a parallel treatment of spaces defined over finite and real fields.
Cite
@article{arxiv.1508.04381,
title = {Heisenberg groups and their automorphisms over algebras with central involution},
author = {Robert W. Johnson},
journal= {arXiv preprint arXiv:1508.04381},
year = {2015}
}
Comments
To be published in Reports on Mathematical Physics