A tutorial on conformal groups

Volume 37 / 1996

Ian Porteous Banach Center Publications 37 (1996), 137-150 DOI: 10.4064/-37-1-137-150

Abstract

Our concern is with the group of conformal transformations of a finite-dimensional real quadratic space of signature (p,q), that is one that is isomorphic to $ℝ^{p,q}$, the real vector space $ℝ^{p+q}$, furnished with the quadratic form $x^{(2)} = x · x = -x_{1}^{2} - x_{2}^{2} - ... - x_{p}^{2} + x_{p+1}^{2} + ... + x_{p+q}^{2}$, and especially with a description of this group that involves Clifford algebras.

Authors

  • Ian Porteous

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