25 citations · 29 across the 4 of their papers we have counts for
4 papers
-graded Lie (super)algebras and generalized quantum statistics
N. I. Stoilova, J. Van der Jeugt
We present systems of parabosons and parafermions in the context of Lie algebras, Lie superalgebras, -graded Lie algebras and $\mathbf…
Matrix structure of classical graded Lie algebras
N. I. Stoilova, J. Van der Jeugt
A -graded Lie algebra is a -graded algebra with a bracket that satisfie…
Gel'fand-Zetlin basis for a class of representations of the Lie superalgebra gl(\infty|\infty)
N. I. Stoilova, J. Van der Jeugt
A new, so called odd Gel'fand-Zetlin basis is introduced for the irreducible covariant tensor representations of the Lie superalgebra gl(n|n). The related Gel'fand-Zetlin patterns…
The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator
R. C. King, T. D. Palev, N. I. Stoilova +1
The properties of a non-canonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each s…