Introduction to Braided Geometry and $q$-Minkowski Space

Shahn Majid

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arXiv · hep-th/9410241

Introduction to Braided Geometry and $q$-Minkowski Space

Shahn Majid

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Abstract

We present a systematic introduction to the geometry of linear braided spaces. These are versions of $\R^n$ in which the coordinates $x_i$ have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to $q$-deformation: braided differentiation, exponentials, Gaussians, integration and forms, i.e. the basic ingredients for $q$-deformed physics are covered. The braided approach includes natural $q$-Euclidean and $q$-Minkowski spaces in R-matrix form.

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Shahn Majid. 1994-11-06. Introduction to Braided Geometry and $q$-Minkowski Space. https://arxiv.org/abs/hep-th/9410241

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