On classical Z2×Z2-graded Lie algebras
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Publication:6110645
DOI10.1063/5.0149175zbMath1516.17025arXiv2305.18604MaRDI QIDQ6110645
Joris Van der Jeugt, Neli I. Stoilova
Publication date: 6 July 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.18604
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)
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Cites Work
- Unnamed Item
- Unnamed Item
- On Lie gradings. I
- A new kind of graded Lie algebra and parastatistical supersymmetry
- \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization
- Is the \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded sine-Gordon equation integrable?
- A classification of generalized quantum statistics associated with classical Lie algebras
- de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras
- Generalized quasispin for supergroups
- Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
- Macroscopic properties ofA-statistics
- 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
- Group Gradings on Matrix Algebras
- Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications
- Double-graded supersymmetric quantum mechanics
- $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations
- The parafermion Fock space and explicit \mathfrak{so}(2n+1) representations
- Introduction to Lie Algebras and Representation Theory
- A Generalized Method of Field Quantization
- ${\mathcal N}$ -extension of double-graded supersymmetric and superconformal quantum mechanics
- ${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models
- Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians
- Inequivalent quantizations from gradings and Z2×Z2 parabosons
- A generalization of field quantization and statistics
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