P. L. Robinson

activity

20122015

most citedThe bosonic Fock representation and a generalized Shale theorem

4 citations · 6 across the 8 of their papers we have counts for

collaborators

8 papers

math.SG2015★ 1 cited

Cayley-Sylvester invariants and the Hamilton equations

P. L. Robinson

We note implications of the Cayley-Sylvester theory of invariants and covariants for the Hamilton equations generated by cubic and quartic Hamiltonian functions.

math.SG2015

Cubic Hamiltonians

P. L. Robinson

We determine a precise necessary and sufficient condition for completeness of the Hamiltonian vector field associated to a homogeneous cubic polynomial on a symplectic plane.

math.SG2015

Automorphisms of Quadratic Liouville Structures

P. L. Robinson

We examine the diffeomorphisms of a symplectic vector space that preserve a chosen symplectic potential. Our examination yields an explicit description of these diffeomorphisms whe…

math.SG2015★ 1 cited

Automorphisms of Liouville Structures

P. L. Robinson

By a Liouville structure on a symplectic manifold $(M, ω)$ we mean a choice of symplectic potential: that is, a choice of one-form $θ$ on $M$ such that $d θ = ω$ . We determine…

math.RA2014

Distributive Quotients

P. L. Robinson

We note that each lattice $L$ has a unique largest distributive quotient, of which every distributive quotient of $L$ is itself a quotient.

math.RA2014

'Twisted duality' in the $C^{*}$ Clifford algebra

P. L. Robinson

Let $V$ be a real inner product space and $C [V]$ its $C^{*}$ Clifford algebra. We prove that if $Z$ is a subspace of $V$ then $C [Z^{⊥}]$ coincides with the supercommutant o…

Cayley-Sylvester invariants and the Hamilton equations

Cubic Hamiltonians

Automorphisms of Quadratic Liouville Structures

Automorphisms of Liouville Structures

Distributive Quotients

'Twisted duality' in the C∗ Clifford algebra

'Twisted duality' in the $C^{*}$ Clifford algebra