N. I. Stoilova

activity

20032025

most citedThe non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator

25 citations · 29 across the 4 of their papers we have counts for

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3 papers · 1 filter

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-ph2016★ 4 cited

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…

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

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

Gel'fand-Zetlin basis for a class of representations of the Lie superalgebra gl(\infty|\infty)

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

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