151 citations · 400 across the 28 of their papers we have counts for
8 papers · 1 filter
Selected results on Lie supergroups and their radial operators
Alan Huckleberry, Matthias Kalus
Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin's recursion formula for describing the radial parts of fundamental…
A method for constructing random matrix models of disordered bosons
Alan Huckleberry, Kathrin Schaffert
Random matrix models of disordered bosons consist of matrices in the Lie algebra g=sp_n(R). Assuming dynamical stability, their eigenvalues are required to be purely imaginary. Her…
Asymptotics of eigensections on toric varieties
Alan Huckleberry, Holger Sebert, Appendix by Daniel Barlet
Using exhaustion properties of invariant plurisubharmonic functions along with basic combinatorial information on toric varieties convergence results for sequences of distribution…
A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
Arne Alex, Matthias Kalus, Alan Huckleberry +1
We present an algorithm for the explicit numerical calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is wel…
Symplectic geometry of entanglement
Adam Sawicki, Alan Huckleberry, Marek Kuś
We present a description of entanglement in composite quantum systems in terms of symplectic geometry. We provide a symplectic characterization of sets of equally entangled states…
Hans Grauert: Mathematician Pur
Alan Huckleberry
This article was written on the occasion of Hans Grauert receiving the Cantor Medallion of the Deutsche Mathematische Vereinigung. It is a brief overview of his mathematical contri…