44 citations · 78 across the 13 of their papers we have counts for
13 papers
Spectra of Weighted Composition Operators with Quadratic Symbols
Jessica Doctor, Timothy Hodges, Scott Kaschner +2
Previously, spectra of certain weighted composition operators on the Hardy Space were discovered under one of two hypotheses: either the compositional symbol converges under iterat…
On the Existence of Semi-Regular Sequences
T. J. Hodges, S. D. Molina, J. Schlather
Semi-regular sequences over are sequences of homogeneous elements of the algebra , which have as few relations…
Triangular Poisson structures on Lie groups and symplectic reduction
Timothy J. Hodges, Milen Yakimov
We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplec…
Degenerations and representations of twisted Shibukawa-Ueno R-operators
Robin Endelman, Timothy J. Hodges
We study degenerations of the Belavin R-matrices via the infinite dimensional operators defined by Shibukawa-Ueno. We define a two-parameter family of generalizations of the Shibuk…
The Double and Dual of a Quasitriangular Lie Bialgebra
Timothy J. Hodges, Milen Yakimov
Let G be a connected, simply connected Poisson-Lie group with quasitriangular Lie bialgebra g. An explicit description of the double D(g) is given, together with the embeddings of…
Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation
Robin Endelman, Timothy J. Hodges
An explicit quantization is given of certain skew-symmetric solutions of the classical Yang-Baxter, yielding a family of -matrices which generalize to higher dimensions the Jord…