44 citations · 517 across the 50 of their papers we have counts for
50 papers
Partition functions and thermodynamic properties of paraboson and parafermion systems
N. I. Stoilova, J. Van der Jeugt
New formulas are given for the grand partition function of paraboson systems of order p with n orbitals and parafermion systems of order p with m orbitals. These formulas allow the…
The -graded general linear Lie superalgebra
Phillip S. Isaac, N. I. Stoilova, Joris Van der Jeugt
We present a novel realisation of the -graded Lie superalgebra inside an algebraic extension of the enveloping alge…
On characters and superdimensions of some infinite-dimensional irreducible representations of
N. I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt
Chiral spinors and self dual tensors of the Lie superalgebra are infinite dimensional representations belonging to the class of representations with Dynkin la…
On superdimensions of some infinite-dimensional irreducible representations of
N. I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt
In a recent paper characters and superdimension formulas were investigated for the class of representations with Dynkin labels of the Lie superalgebra .…
Representations of the Lie superalgebra and parastatistics Fock spaces
N. I. Stoilova, J. Van der Jeugt
The algebraic structure generated by the creation and annihilation operators of a system of m parafermions and n parabosons, satisfying the mutual parafermion relations, is known t…
The Z_2 x Z_2-graded Lie superalgebra pso(2m+1|2n) and new parastatistics representations
N. I. Stoilova, J. Van der Jeugt
When the relative commutation relations between a set of m parafermions and n parabosons are of ``relative parafermion type'', the underlying algebraic structure is the classical o…