The Geometry of Heisenberg Groups (Hardcover)

The skew field of quaternions Elements of the geometry of $S^3$, Hopf bundles and spin representations Internal variables of singularity free vector fields in a Euclidean space Isomorphism classes, Chern classes and homotopy classes of singularity free vector fields in three-space Heisenberg algebras, Heisenberg groups, Minkowski metrics, Jordan algebras and SL$(2,\mathbb {C})$ The Heisenberg group and natural $C*$-algebras of a vector field in 3-space The Schrodinger representation and the metaplectic representation The Heisenberg group-A basic geometric background of signal analysis and geometric optics Quantization of quadratic polynomials Field theoretic Weyl quantization of a vector field in 3-space Thermodynamics, geometry and the Heisenberg group by Serge Preston Bibliography Index.