Clifford Algebras as Projections of Group Algebras

Vladimir M. Chernov

Chapter Chapter 22 in Geometric Algebra with Applications in Science and Engineering, 2001, pp 461-476 from Springer

Abstract: Abstract Clifford algebras appeared as a result of the natural desire of mathematicians to extend a finite-dimensional vector space to an algebraic structure where the inner and outer products are defined in terms of a single geometric multiplication [ 14 ], [ 26 ], [ 1 ], [ 25 ]. This idea was most attractively developed by D.Hestenes [ 20 ], [ 21 ]), and was immediately accepted by some physicists.

Keywords: Discrete Fourier Transform; Group Algebra; Clifford Algebra; Geometric Algebra; Real Multiplication (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0159-5_22

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