The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules

DOI10.1007/s10587-012-0012-yzbMath1249.18008OpenAlexW2039528414MaRDI QIDQ2897363

Patrice P. Ntumba

Publication date: 10 July 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/246946

zbMATH Keywords

symplectic basisorthogonal/symplectic geometryorthosymmetric \(\mathcal {A}\)-bilinear formssymplectic \(\mathcal {A}\)-modulesymplectic Gram-Schmidt theorem

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (1)

Clifford \({\mathcal{A}}\)-algebras of quadratic \({\mathcal{A}}\)-modules

Cites Work

• Cartan-Dieudonné theorem for \({\mathcal {A}}\)-modules
• Geometry and physics today
• \(\mathcal{A}\)-invariance: An axiomatic approach to quantum relativity
• On a sheaf-theoretic version of the Witt's decomposition theorem. A Lagrangian perspective
• The differentiable space structures of Milnor classifying spaces, simplicial complexes, and geometric realizations
• Fundamentals for symplectic \(\mathcal{A}\)-modules. Affine Darboux theorem
• Symplectic geometry and quantum mechanics
• Pairings of Sheaves of A-Modules
• Differential modules
• Lectures on symplectic geometry
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