Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
29 (1988), S. 2338-2345
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The properties of the Clifford algebra are concisely summarized in four identities that extend the usual Lie algebra to the entire algebra. This formulation may be used to analyze the general structure of the Clifford algebra, but it is found that the symmetry properties are not consistent with the geometrical content. The extension of the graded Lie algebra to the entire algebra generates a geometrical algebra which simplifies the analysis of the structure of the Clifford algebra. This produces a direct proof of the fundamental theorem that relates the Clifford and Grassmann algebras via the Pfaffian.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528117
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