Abstract
A Clifford algebra for an infinite-dimensional real vector space is constructed. Any such Clifford algebra is simple. The identity is the only central idempotent; there are no primitive idempotents. There exists a sequence f i ,i = 1, 2,..., of pairwise orthogonal idempotents.
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© 1992 Springer Science+Business Media Dordrecht
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Wene, G.P. (1992). The idempotent structure of an infinite dimensional Clifford algebra. In: Micali, A., Boudet, R., Helmstetter, J. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8090-8_17
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DOI: https://doi.org/10.1007/978-94-015-8090-8_17
Publisher Name: Springer, Dordrecht
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