Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras

DOI10.1016/j.geomphys.2007.09.004zbMath1161.17006OpenAlexW2038338256MaRDI QIDQ2475454

Michael G. Eastwood, Petr Somberg, Vladimír Souček

Publication date: 11 March 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.09.004

zbMATH Keywords

quadratic algebraLie algebradeformationJoseph idealspecial tensors

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Applications of Lie (super)algebras to physics, etc. (17B81) Invariance and symmetry properties for PDEs on manifolds (58J70) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (9)

The Joseph Ideal for $$\mathfrak {sl}(m|n)$$ ⋮ Notes on higher-spin algebras: minimal representations and structure constants ⋮ Deformed twistors and higher spin conformal (super-)algebras in six dimensions ⋮ Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator ⋮ Notes on super Killing tensors ⋮ Higher symmetries of symplectic Dirac operator ⋮ Higher symmetries of the Laplacian via quantization ⋮ Super-Laplacians and their symmetries ⋮ Deformed twistors and higher spin conformal (super-)algebras in four dimensions

Cites Work

• Unnamed Item
• Higher symmetries of the Laplacian
• The minimal realization from deformation theory
• The Cartan product
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• The minimal orbit in a simple Lie algebra and its associated maximal ideal
• Projectively Invariant Star Products

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