9 citations · 17 across the 5 of their papers we have counts for
5 papers
Generalized quadratic commutator algebras of PBW-type
Ian Marquette, Luke Yates, Peter Jarvis
In recent years, various nonlinear algebraic structures have been obtained in the context of quantum systems as symmetry algebras, Painlevé transcendent models and missing label pr…
Finite -superalgebras and quadratic spacetime supersymmetries
E. Ragoucy, L. A. Yates, P. D. Jarvis
We consider Lie superalgebras under constraints of Hamiltonian reduction, yielding finite -superalgebras which provide candidates for quadratic spacetime superalgebras. These ha…
Hidden supersymmetry and quadratic deformations of the space-time conformal superalgebra
L. A. Yates, P. D. Jarvis
We analyze the structure of the family of quadratic superalgebras, introduced in J Phys A 44(23):235205 (2011), for the quadatic deformations of space-time conformal supers…
A class of quadratic deformations of Lie superalgebras
Peter Jarvis, Gerd Rudolph, Luke Yates
We study certain Z_2-graded, finite-dimensional polynomial algebras of degree 2 which are a special class of deformations of Lie superalgebras, which we call quadratic Lie superalg…
The molecular asymmetric rigid rotor Hamiltonian as an exactly solvable model
P. D. Jarvis, L. A. Yates
Representations of the rotation group may be formulated in second-quantised language via Schwinger's transcription of angular momentum states onto states of an effective two-dimens…