54 citations · 98 across the 10 of their papers we have counts for
12 papers
The semi-direct product of Poisson -spaces
Ian Marshall
The notion of semi-direct product of Poisson -spaces is applied to illuminate examples arising in spin-extensions of Ruijsenaars models.
On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars--Sutherland hierarchy
L. Feher, I. Marshall
We report on the the trigonometric spin Ruijsenaars--Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion o…
Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric Sutherland system
L. Feher, I. Marshall
Integrable many-body systems of Ruijsenaars--Schneider--van Diejen type displaying action-angle duality are derived by Hamiltonian reduction of the Heisenberg double of the Poisson…
On the Brauer-Picard groups of fusion categories
Ian Marshall, Dmitri Nikshych
We develop methods of computation of the Brauer-Picard groups of fusion categories and apply them to compute such groups for several classes of fusion categories of prime power dim…
A new model in the Calogero-Ruijsenaars family
Ian Marshall
Hamiltonian reduction is used to project a trivially integrable system on the Heisenberg double of , to obtain a system of Ruijsenaars type on a suitable quotient space. T…
Poisson reduction of the space of polygons
Ian Marshall
A family of Poisson structures, parametrised by an arbitrary odd periodic function , is defined on the space $\cW$ of twisted polygons in $\RR^ν$. Poisson reductions with respec…