10 citations · 10 across the 4 of their papers we have counts for
4 papers
Differentiating the State Evaluation Map from Matrices to Functions on Projective Space
Ghaliah Alhamzi, Edwin Beggs
We show that the pure state evaluation map from to (a completely positive map of -algebras) extends to a cochain m…
The Exponential Map for Hopf Algebras
Ghaliah Alhamzi, Edwin Beggs
We give an analogue of the classical exponential map on Lie groups for Hopf -algebras with differential calculus. The major difference with the classical case is the interpretat…
Matrices, Bratteli Diagrams and Hopf-Galois Extensions
Ghaliah Alhamzi, Edwin Beggs
We show that the matrix embeddings in Bratteli diagrams are iterated direct sums of Hopf-Galois extensions (quantum principle bundles) for certain abelian groups. The corresponding…
From homotopy to Ito calculus and Hodge theory
Ghaliah Alhamzi, Edwin Beggs, Andrew Neate
We begin with a deformation of a differential graded algebra by adding time and using a homotopy. It is shown that the standard formulae of Itô calculus are an example, with four c…