N. I. Stoilova

activity

20232026

Z_{2} \times Z_{2}

-graded Lie superalgebras and parastatistics

8 citations · 8 across the 4 of their papers we have counts for

collaborators

4 papers

math-ph2026

The parity operator for parafermions and parabosons

N. I. Stoilova, J. Van der Jeugt

In this paper we reexamine the definition of parafermions and parabosons by means of Green's triple relations, and extend these relations by including a parity operator $P$ which i…

math-ph2025

$Z_{2}^{3}$ -grading of the Lie algebra $G_{2}$ and related color algebras

N. I. Stoilova, J. Van der Jeugt

We present a special and attractive basis for the exceptional Lie algebra $G_{2}$ , which turns $G_{2}$ into a $Z_{2}^{3}$ -graded Lie algebra. There are two basis elements for each…

math-ph2024

Generalized boson and fermion operators with a maximal total occupation property

N. I. Stoilova, J. Van der Jeugt

We propose a new generalization of the standard (anti-)commutation relations for creation and annihilation operators of bosons and fermions. These relations preserve the usual symm…

math-ph2024★ 8 cited

Orthosymplectic $Z_{2} \times Z_{2}$ -graded Lie superalgebras and parastatistics

N. I. Stoilova, J. Van der Jeugt

A $Z_{2} \times Z_{2}$ -graded Lie superalgebra $g$ is a $Z_{2} \times Z_{2}$ -graded algebra with a bracket $[., .]$ that satisfies certain graded versions of the symmetry and Jacobi identity.…

The parity operator for parafermions and parabosons

Z23​-grading of the Lie algebra G2​ and related color algebras

Generalized boson and fermion operators with a maximal total occupation property

Orthosymplectic Z2​×Z2​-graded Lie superalgebras and parastatistics

$Z_{2}^{3}$ -grading of the Lie algebra $G_{2}$ and related color algebras

Orthosymplectic $Z_{2} \times Z_{2}$ -graded Lie superalgebras and parastatistics