On the classification of Clifford algebras and their relation to spinors in n dimensions
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Publication:3937533
DOI10.1063/1.525192zbMath0481.15013OpenAlexW2027244490MaRDI QIDQ3937533
Publication date: 1982
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525192
Group rings (16S34) Structure theory for Lie algebras and superalgebras (17B05) Clifford algebras, spinors (15A66) Applications of group representations to physics and other areas of science (20C35)
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On the relationship between twistors and Clifford algebras ⋮ On the transposition anti-involution in real Clifford algebras III: the automorphism group of the transposition scalar product on spinor spaces ⋮ Real representations of finite Clifford algebras. I. Classification ⋮ A general method of generating and classifying Clifford algebras ⋮ A classification of Clifford algebras as images of group algebras of Salingaros vee groups ⋮ Spinor modules of Clifford algebras in classes \(N_{2k-1}\) and \(\Omega _{2k-1}\) are determined by irreducible nonlinear characters of corresponding Salingaros vee groups ⋮ On the topology of leaves of singular Riemannian foliations ⋮ CPT groups for spinor field in de Sitter space ⋮ The design of linear algebra and geometry ⋮ Clifford structures on real vector spaces and manifolds ⋮ Unitary representations of the (4+1)-de Sitter group on irreducible representation spaces of the Poincaré group ⋮ The relationship between finite groups and Clifford algebras ⋮ Some solutions of the Yang–Mills equations in dimension greater than four ⋮ Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime ⋮ Eight-dimensional spinor representation of the Poincaré group ⋮ The Clifford algebra of differential forms ⋮ Grassmann calculus, pseudoclassical mechanics, and geometric algebra ⋮ \(CPT\) groups of spinor fields in de Sitter and anti-de Sitter spaces ⋮ N-dimensional spinors: Their properties in terms of finite groups
Cites Work
- Clifford modules
- The theory of spinors
- On Spinors in n Dimensions
- Realization, extension, and classification of certain physically important groups and algebras
- Algebras with three anticommuting elements. I. Spinors and quaternions
- Algebras with three anticommuting elements. II. Two algebras over a singular field
- Electromagnetism and the holomorphic properties of spacetime
- Spinors in n Dimensions
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