J. Jeugt

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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…

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

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

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

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