Once more on parastatistics

2014/12/01 by V.N. Tolstoy, V. N. Tolstoy · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Equivalence (formal languages) #Mathematics #Messiah #Nonlinear Waves and Solitons #Philosophy #Pure mathematics #Theology #hep-th #math-ph #math.MP

paper · pdf · doi:10.1134/s1547477114070449

published as Physics of Particles and Nuclei Letters, December 2014, Volume 11, Issue 7, 933--937 · 8 pages, International Workshop "Supersymmetries and Quantum Symmetries - SQS'2013 ", Dubna, Russia, 2013

openalex publication_date 2014/12/01 · arxiv created 2016/10/05 · arxiv updated 2016/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Equivalence between algebraic structures generated by parastatistics triple relations of Green (1953) and Greenberg-Messiah (1965), and certain orthosymplectic ℤ 2 × ℤ 2 -graded Lie superalgebras is found explicitly. Moreover, it is shown that such superalgebras give more complex para-Fermi and para-Bose systems then ones of Green-Greenberg-Messiah.

Citations

• Lie superalgebras

Cited by

• Double-graded supersymmetric quantum mechanics
• \mathbb Z₂× \mathbb Z₂-graded mechanics: the classical theory
• Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications