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Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra)

In: Quantum Field Theory III: Gauge Theory

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  • Eberhard Zeidler

    (Max Planck Institute for Mathematics in the Sciences)

Abstract

Operator algebras play a fundamental role in algebraic quantum field theory. In order to understand this, one has first to understand the crucial algebraic structures of the Euclidean space. The point is that relevant products possess an invariant meaning, that is, they are independent of the choice of a basis of the Euclidean space.

Suggested Citation

  • Eberhard Zeidler, 2011. "Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra)," Springer Books, in: Quantum Field Theory III: Gauge Theory, chapter 2, pages 115-179, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-22421-8_3
    DOI: 10.1007/978-3-642-22421-8_3
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