Clifford geometric algebras, spin manifolds, and group actions in mathematics and physics

DOI10.1007/S00006-009-0199-7zbMath1194.00067OpenAlexW2065061845MaRDI QIDQ2655381

Luciano Boi

Publication date: 25 January 2010

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-009-0199-7

zbMATH Keywords

Dirac operatorgroup actionsspinorsClifford bundlemathematical physicscomplex manifoldsspin groupAtiyah-Singer index theoremBott periodicity theoremcurvature and topologyClifford geometric algebrasHopf gomotopy groupsstrings and symmetries

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Bilinear and Hermitian forms (11E39) Classical groups (11E57) Physics (00A79)

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