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arXiv · 1508.04381

Heisenberg groups and their automorphisms over algebras with central involution

Robert W. Johnson
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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.

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Robert W. Johnson. 2015-08-18. Heisenberg groups and their automorphisms over algebras with central involution. https://doi.org/10.1016/s0034-4877(15)30021-5

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