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Boosting the Fuzzy Sphere

초록/요약

A suggestion is made how part of the Lorentz group can act on a non-commutative deformation of S2. Motivated by extending part of the known SL(2;C) action on S2, namely that of boosts (into a given direction), to an action of R onto triples of 3 hermitean matrices with eigenvalues in the interval (-1,+1), we define an abstract algebra (via generators and relations) on which the non-compact Lie group R non-trivially acts.

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