J. Jeugt

collaborators

2 papers

math.RT2026

Graded Casimir Elements and Central Extensions of Color Lie Algebras

Naruhiko Aizawa, N. Aizawa, Ichi Fujii +5

A color Lie algebra is a generalization of a Lie (super)algebra by an Abelian group $Γ$ . The underlying vector space and defining relations of the algebra are graded by $Γ$ , and a…

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…

Graded Casimir Elements and Central Extensions of Color Lie Algebras

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

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