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Clifford Algebras and Geometry

In: Quantum Theory, Groups and Representations

Author

Listed:
  • Peter Woit

    (Columbia University, Department of Mathematics)

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.

Suggested Citation

  • Peter Woit, 2017. "Clifford Algebras and Geometry," Springer Books, in: Quantum Theory, Groups and Representations, chapter 0, pages 373-381, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64612-1_29
    DOI: 10.1007/978-3-319-64612-1_29
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