A new kind of graded Lie algebra and parastatistical supersymmetry
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Publication:1609717
DOI10.1007/BF02877435zbMath1022.17022WikidataQ115391365 ScholiaQ115391365MaRDI QIDQ1609717
Publication date: 15 August 2002
Published in: Science in China. Series A (Search for Journal in Brave)
Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Graded Lie (super)algebras (17B70)
Related Items (21)
On the construction of \(\mathbb{Z}^n_2\)-Grassmannians as homogeneous \(\mathbb{Z}^n_2\)-spaces ⋮ The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces ⋮ Representations of the Lie superalgebra $ \newcommand{\B}{\mathfrak{B}} {\B(\infty,\infty)}$ and parastatistics Fock spaces ⋮ On ultra algebras ⋮ The category of Z2n-supermanifolds ⋮ Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ New aspects of the \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded \(1D\) superspace: induced strings and \(2D\) relativistic models ⋮ On classical Z2×Z2-graded Lie algebras ⋮ A Klein operator for paraparticles ⋮ Unnamed Item ⋮ A braided look at Green ansatz for parabosons ⋮ The $ \newcommand{\Z}{{{\mathbb Z}}} \Z_2\times\Z_2$ -graded Lie superalgebra $ \newcommand{\pso}{\mathfrak{pso}} \pso(2m+1\vert 2n)$ and new parastatistics representations ⋮ Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions ⋮ The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds ⋮ Local forms of morphisms of colored supermanifolds ⋮ Symplectic \(\mathbb{Z}_2^n\)-manifolds ⋮ On a \(\mathbb Z_2^n\)-graded version of supersymmetry ⋮ ${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models ⋮ Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians ⋮ Inequivalent quantizations from gradings and Z2×Z2 parabosons
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