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arXiv · hep-th/9607094

The Mathematical Footing of Non-associative Geometry

Raimar Wulkenhaar
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Abstract

Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the non--commutative geometry a la Connes/Lott, differs from that, however, by the implementation of unitary Lie algebras instead of associative *-algebras. The general scheme is presented in detail and is applied to functions $\otimes$ matrices.

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Raimar Wulkenhaar. 1996-10-29. The Mathematical Footing of Non-associative Geometry. https://arxiv.org/abs/hep-th/9607094

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