Superposition formulas for nonlinear superequations

DOI10.1063/1.528997zbMath0726.58065OpenAlexW2058156541MaRDI QIDQ3350362

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Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528997

zbMATH Keywords

supersymmetryGrassmann algebrasupergroupsuperposition formulanonlinear superequations

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of global analysis to the sciences (58Z05) Applications of dynamical systems (37N99)

Related Items (10)

On the supersymplectic homogeneous superspace underlying the OSp(1/2) coherent states ⋮ A geometric approach to time evolution operators of Lie quantum systems ⋮ Supercoherent states, super-Kähler geometry and geometric quantization ⋮ Contact Lie systems: theory and applications ⋮ On Lie systems and Kummer-Schwarz equations ⋮ Dirac-Lie systems and Schwarzian equations ⋮ Group theoretical approach to the intertwined Hamiltonians ⋮ Nonlinear superposition formulas based on imprimitive group action ⋮ Supergroups factorizations through matrix realization ⋮ Stratified Lie systems: theory and applications

Cites Work

• Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
• Systems of ordinary differential equations with nonlinear superposition principles
• Nonlinear differential equations and Lie superalgebras
• A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
• Superposition principles for matrix Riccati equations
• Classification of systems of nonlinear ordinary differential equations with superposition principles
• Superposition formulas for rectangular matrix Riccati equations
• Nonlinear equations with superposition formulas and exceptional group G2. III. The superposition formulas
• Grassmann-valued fluid dynamics
• Nonlinear equations with superposition formulas and the exceptional group G2. II. Classification of the equations
• An algebraic model of transitive differential geometry
• Lie superalgebras

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