J. Jeugt

activity

19982025

most citedThe parafermion Fock space and explicit so(2n+1) representations

28 citations · 272 across the 32 of their papers we have counts for

collaborators

31 papers

math-ph2025

$Z_{2} \times Z_{2}$ -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, $Z_{2} \times Z_{2}$ -graded Lie algebras and $\mathbf…

math-ph2024

Matrix structure of classical $Z_{2} \times Z_{2}$ graded Lie algebras

N. I. Stoilova, J. Van der Jeugt

A $Z_{2} \times Z_{2}$ -graded Lie algebra $g$ is a $Z_{2} \times Z_{2}$ -graded algebra $g$ with a bracket $[∣., .∣]$ that satisfie…

math.RT2021

A Lie algebra of Grassmannian Dirac operators and vector variables

Asmus K. Bisbo, Hendrik De Bie, Joris Van der Jeugt

The Lie algebra generated by $m$ $p$ -dimensional Grassmannian Dirac operators and $m$ $p$ -dimensional vector variables is identified as the orthogonal Lie algebra $\mathfrak{so…

cond-mat.stat-mech2020★ 6 cited

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…

math-ph2019★ 17 cited

The $Z_{2} \times Z_{2}$ -graded general linear Lie superalgebra

Phillip S. Isaac, N. I. Stoilova, Joris Van der Jeugt

We present a novel realisation of the $Z_{2} \times Z_{2}$ -graded Lie superalgebra $gl (m_{1}, m_{2} ∣ n_{1}, n_{2})$ inside an algebraic extension of the enveloping alge…

math.RT2019★ 2 cited

Representations of the Lie Superalgebra $osp (1∣2 n)$ with Polynomial Bases

Asmus K. Bisbo, Hendrik De Bie, Joris Van der Jeugt

We study a particular class of infinite-dimensional representations of $osp (1∣2 n)$ . These representations $L_{n} (p)$ are characterized by a positive integer $p$ , and are t…

Z2​ ×Z2​-graded Lie (super)algebras and generalized quantum statistics

Matrix structure of classical Z2​×Z2​ graded Lie algebras

A Lie algebra of Grassmannian Dirac operators and vector variables

Partition functions and thermodynamic properties of paraboson and parafermion systems

The Z2​×Z2​-graded general linear Lie superalgebra

Representations of the Lie Superalgebra osp(1∣2n) with Polynomial Bases

$Z_{2} \times Z_{2}$ -graded Lie (super)algebras and generalized quantum statistics

Matrix structure of classical $Z_{2} \times Z_{2}$ graded Lie algebras

The $Z_{2} \times Z_{2}$ -graded general linear Lie superalgebra

Representations of the Lie Superalgebra $osp (1∣2 n)$ with Polynomial Bases