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

Eberhard Zeidler
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Eberhard Zeidler: Max Planck Institute for Mathematics in the Sciences

Chapter 2 in Quantum Field Theory III: Gauge Theory, 2011, pp 115-179 from Springer

Abstract: 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.

Keywords: Linear Operator; Tensor Product; Linear Space; Division Algebra; Linear Isomorphism (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-22421-8_3

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