An Introduction to the Noncommutative Sphere and some Extensions

Details An Introduction to the Noncommutative Sphere and some Extensions An Introduction to the Noncommutative Sphere and some Extensions

1997-10-09

arxiv.org/abs/q-alg/9710014v1

Mathematics

Quantum Algebra

15 pages, 3 figures. Talk given at the conference ``Methods in Field Theory'' at Stara Lesna, The Slovak Republic, Sepemeber 2

Scientific paper

This is a copy of the talk given at the conference ``Methods in Field Theory'' at Stara Lesna, The Slovak Republic, Sepemeber 22-26, 1997. An introduction to the noncommutative sphere and a summary of the results of articles q-alg/9703038 \cite{Gratus5}, and q-alg/9708003 \cite{Gratus6} is given. This includes results about the the algebra of scalar, spinor and vector fields on the noncommutative sphere. Possible extensions of these results including a ``Wick rotation'' to the one and two sheeted hyperboloid are also examined.

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