111 citations · 191 across the 15 of their papers we have counts for
4 papers · 1 filter
The center of the small quantum group u_q(sl_3) for l=5: a numerical computation
Steven Glenn Jackson, Anna Lachowska
This is a brief note on a numerical computation of the dimension of the center of the small quantum group u_q(sl_3) at the 5th root of unity. The obtained dimension is 57. Using th…
Creating Entanglement Using Integrals of Motion
Maxim Olshanii, Thibault Scoquart, Dmitry Yampolsky +2
A quantum Galilean cannon is a 1D sequence of hard-core particles with special mass ratios, and a hard wall; conservation laws due to the reflection group prevent both…
Exactly solvable quantum few-body systems associated with the symmetries of the three-dimensional and four-dimensional icosahedra
T. Scoquart, J. J. Seaward, S. G. Jackson +1
The purpose of this article is to demonstrate that non-crystallographic reflection groups can be used to build new solvable quantum particle systems. We explicitly construct a one-…
Incidence Geometry in a Weyl Chamber II:
Mboyo Esole, Steven Glenn Jackson, Ravi Jagadeesan +1
We study the polyhedral geometry of the hyperplanes orthogonal to the weights of the first and the second fundamental representations of inside the dual fundamental Weyl cha…