7 citations · 7 across the 3 of their papers we have counts for
4 papers
The Dirac oscillator, generalised parastatistics and colour Lie superalgebras
Phillip S. Isaac, Mitchell Ryan
We study the Dirac oscillator in one, two and three spatial dimensions, showing that the corresponding ladder operators realise the -graded Lie su…
Graded colour Lie superalgebras for solving Lévy-Leblond equations
Mitchell Ryan
The Lévy-Leblond equation with free potential admits a symmetry algebra that is a -graded colour Lie superalgebra (see arXiv:1609.08224). We exten…
Refining the grading of irreducible Lie colour algebra representations
Mitchell Ryan
We apply the loop module construction of arXiv:1504.05114 in the context of Lie colour algebras. We construct a bijection between the equivalence classes of all finite-dimensional…
Soliton cellular automata for the affine general linear Lie superalgebra
Mitchell Ryan, Benjamin Solomon
The box-ball system (BBS) is a cellular automaton that is an ultradiscrete analogue of the Korteweg--de Vries equation, a non-linear PDE used to model water waves. In 2001, Hikami…