23 citations · 33 across the 5 of their papers we have counts for
6 papers
Quantum Channels and Representation Theory
William Gordon Ritter
In the study of d-dimensional quantum channels , an assumption which is not very restrictive, and which has a natural physical interpretation, is that the corresponding…
Geometric Characterization of Property R
William Gordon Ritter
Consider pairs of the form (G, N), with G a group and N \normal G, as objects of a category \PG. A morphism (G_1, N_1) \To (G_2, N_2) will be a group homomorphism f : G_1 \To G_2 s…
Gauge Theory: Instantons, Monopoles, and Moduli Spaces
William Gordon Ritter
In this expository review we discuss various aspects of gauge theory. While the focus is on mathematics, wherever possible we make contact with theoretical high energy physics. Par…
Quantum Field Theory and the Space of All Lie Algebras
William Gordon Ritter
The space M_n of all isomorphism classes of n-dimensional Lie algebras over a field k has a natural non-Hausdorff topology, induced from the Segal topology by the action of GL(n).…
Geometric Quantization
William Gordon Ritter
We review the definition of geometric quantization, which begins with defining a mathematical framework for the algebra of observables that holds equally well for classical and qua…
Introduction to Quantum Group Theory
William Gordon Ritter
This is a short, self-contained expository survey, focused on algebraic and analytic aspects of quantum groups. Topics covered include the definition of ``quantum group,'' the Yang…