Once more on parastatistics

Abstract

Equivalence between algebraic structures generated by parastatisticstriple relations of Green (1953) and Greenberg -- Messiah (1965), and certain orthosymplectic ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-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.

8 pages, International Workshop "Supersymmetries and Quantum Symmetries - SQS'2013 ", Dubna, Russia, 2013

References in corpus (1)

• The paraboson Fock space and unitary irreducible representations of the Lie superalgebra osp(1|2n)

Cited by in corpus (3)

• ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-graded Lie Symmetries of the Lévy-Leblond Equations
• A class of infinite-dimensional representations of the Lie superalgebra osp(2m+1|2n) and the parastatistics Fock space
• Representations of the Lie superalgebra $B(\infty ,\infty )$ and parastatistics Fock spaces