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Spinor spaces of Clifford algebras

✍ Scribed by Zhou Jianwei; Huo Xinxia


Book ID
105718962
Publisher
Springer
Year
2002
Tongue
English
Weight
699 KB
Volume
12
Category
Article
ISSN
0188-7009

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πŸ“œ SIMILAR VOLUMES


Orthogonal and symplectic clifford algeb
✍ S. E. Payne πŸ“‚ Article πŸ“… 1991 πŸ› Springer Netherlands 🌐 English βš– 171 KB

Spinors were first used under that name by physicists in the field of quantum mechanics. E. Cartan (see [1]) discovered a more geometrical setting for them, at least in the case that the scalar field was either the reals or the complexes. In 1954, C. Chevalley [2] gave the definitive treatment for t

Unitary Spaces on Clifford Algebras
✍ N. G. Marchuk; D. S. Shirokov πŸ“‚ Article πŸ“… 2008 πŸ› Springer 🌐 English βš– 244 KB
Spinor-valued and Clifford algebra-value
✍ Yasushi Homma πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 113 KB

We give decompositions of the spinor-valued and the Clifford algebra-valued harmonic polynomials on R n . In order to do so, we consider some differential complexes and show that these are exact. As a corollary, we have PoincarΓ© lemma for harmonic polynomials. Besides, we prove that each component o