Algebraic Investigation of the Soft Seven Sphere

Details Algebraic Investigation of the Soft Seven Sphere Algebraic Investigation of the Soft Seven Sphere

2000-02-08

arxiv.org/abs/math-ph/0002024v2

Physics

Mathematical Physics

Latex, 19 pages; typos corrected

Scientific paper

We investigate the seven sphere as a soft Lie algebra i.e. an algebra with
structure functions instead of structure constants. We calculate its structure
functions explicitly and also discuss some relevant points such as the validity
of the Jacobi identities. Furthermore, we emphasis some important features such
as the pointwise reduction, closure and some other consistency checks.

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