Cayley-Klein Algebras as Graded Contractions of so(N+1)

Abstract

We study ${\mathbb{Z}}_2^{\otimes N}$ graded contractions of the real compact simple Lie algebra $so(N+1)$, and we identify within them the Cayley-Klein algebras as a naturally distinguished subset.

13 pages, Preprint UVA, AMS-TeX

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