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.
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© 2017 Peter Woit
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Woit, P. (2017). Clifford Algebras and Geometry. In: Quantum Theory, Groups and Representations. Springer, Cham. https://doi.org/10.1007/978-3-319-64612-1_29
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DOI: https://doi.org/10.1007/978-3-319-64612-1_29
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Publisher Name: Springer, Cham
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