Möbius groups over general fields using Clifford algebras associated with spheres

DOI10.1007/BF00673627zbMath0702.51003MaRDI QIDQ915121

Jay P. Fillmore, Arthur Springer

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Clifford algebracover of the orthogonal group by spinsMöbius group of a finite- dimensional vector space over a general commutative field

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Hermitian, skew-Hermitian, and related matrices (15B57) Clifford algebras, spinors (15A66) Classical or axiomatic geometry and physics (51P05) Möbius geometries (51B10) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (8)

Conformal groups and Vahlen matrices ⋮ A conformal group approach to the Dirac–Kähler system on the lattice ⋮ Cycles cross ratio: an invitation ⋮ Conformal Parametrisation of Loxodromes by Triples of Circles ⋮ Spinor-valued \(L^2\)-spaces on \(S^{m-1}\) and representations of \(\mathrm{Spin}^+(1,m)\) ⋮ Reproducing kernels and conformal mappings in \(\mathbb{R}^n\) ⋮ An extension of Mobius--Lie geometry with conformal ensembles of cycles and its implementation in a GiNaC library ⋮ Clifford analysis: History and perspective

Cites Work

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• Conformal Transformations and Clifford Algebras

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