Clifford Algebras and Geometry

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 29 in Quantum Theory, Groups and Representations, 2017, pp 373-381 from Springer

Abstract: Abstract The definitions given in chapter 28 of Weyl and Clifford algebras were purely algebraic, based on a choice of generators and relations. These definitions do though have a more geometrical formulation, with the definition in terms of generators corresponding to a specific choice of coordinates. For the Weyl algebra, the geometry involved is symplectic geometry, based on a non-degenerate antisymmetric bilinear form.

Date: 2017
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DOI: 10.1007/978-3-319-64612-1_29

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