Geometric Algebra

David Hestenes ()
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David Hestenes: Arizona State University, Department of Physics

Chapter Chapter 1 in Space-Time Algebra, 2015, pp 1-24 from Springer

Abstract: Abstract To every n-dimensional vector space $$ \fancyscript{V}_{n} $$ V n with a scalar product there corresponds a unique Clifford algebra $$ \fancyscript{C}_{n} $$ C n . In this section we give an intuitive discussion of how $$ \fancyscript{C}_{n} $$ C n arises as an algebra of directions in $$ \fancyscript{V}_{n} $$ V n . In the next section we proceed with a formal algebraic definition of $$ \fancyscript{C}_{n} $$ C n .

Keywords: Geometric Algebra; Outer Product; Antisymmetric Part; Timelike Vector; Space Conjugation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-18413-5_1

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DOI: 10.1007/978-3-319-18413-5_1

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