Work

A Class of Representations of the ${\Bbb Z}_2\times{\Bbb Z}_2$-Graded Special Linear Lie Superalgebra $\small\mathfrak{sl}(m_1+1,m_2|n_1,n_2)$ and Quantum Statistics

Year: 2025

Type: article

Abstract: The description of the $\ZZ_2\times\ZZ_2$-graded special linear Lie superalgebra is carried out via a set of generators that satisfy triple relations and are called creation and annihilation operators. With respect to these generators, a class of Fock type representations of the algebra is constructed. The properties of the underlying statistics are discussed and its Pauli principle is formulated.

Source: Journal of Geometry and Symmetry in Physics

DOI: 10.7546/jgsp-71-2025-1-9

Authors: Neli I. Stoilova, Joris van der Jeugt

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Bulgarian National Science Fund

Award: G3602433328

OpenAlex ID: W4410415701