Diffeological Clifford algebras and pseudo-bundles of Clifford modules

DOI10.1080/03081087.2018.1472202zbMath1420.53039arXiv1505.06894OpenAlexW2963053343MaRDI QIDQ5227942

Ekaterina Pervova

Publication date: 7 August 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06894

zbMATH Keywords

diffeologydiffeological vector spacediffeological Clifford Algebradiffeological dual

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Singularities of differentiable mappings in differential topology (57R45) Multilinear algebra, tensor calculus (15A69) Differentiable mappings in differential topology (57R35)

Related Items (5)

Smooth constructions of homotopy-coherent actions ⋮ Pushforward and smooth vector pseudo-bundles ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ Exterior bundles in diffeology ⋮ On the differential geometry of numerical schemes and weak solutions of functional equations

Cites Work

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• Diffeological vector pseudo-bundles
• The \(D\)-topology for diffeological spaces
• Diffeological gluing of vector pseudo-bundles and pseudo-metrics on them
• Pseudo-bundles of exterior algebras as diffeological Clifford modules
• Homological algebra for diffeological vector spaces
• An introduction to noncommutative geometry
• DW Complexes and Their Underlying Topological Spaces
• On the notion of scalar product for finite-dimensional diffeological vector spaces
• Tangent spaces and tangent bundles for diffeological spaces

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