On a sheaf-theoretic version of the Witt's decomposition theorem. A Lagrangian perspective

DOI10.1007/s12215-009-0014-2zbMath1184.18010OpenAlexW2064433478MaRDI QIDQ1032600

Anastasios Mallios, Patrice P. Ntumba

Publication date: 26 October 2009

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-009-0014-2

zbMATH Keywords

convenient \({\mathcal A}\)-moduleshyperbolic sheaforthosymmetric \({\mathcal A}\)-bilinear formssheaf of \({\mathcal A}\)-radicals

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items

The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules, Fundamentals for symplectic \(\mathcal{A}\)-modules. Affine Darboux theorem, Cartan-Dieudonné theorem for \({\mathcal {A}}\)-modules, Complexification in \(A\)-modules, \(A\)-transvections and Witt's theorem in symplectic \(A\)-modules, Witt's theorem in abstract geometric algebra, Grassmann sheaves and the classification of vector sheaves

Cites Work

• The differentiable space structures of Milnor classifying spaces, simplicial complexes, and geometric realizations
• Pairings of Sheaves of A-Modules
• Differential modules
• Lectures on symplectic geometry
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