Classical Spinor Structures on Quantum Spaces

Details Classical Spinor Structures on Quantum Spaces Classical Spinor Structures on Quantum Spaces

1994-12-19

arxiv.org/abs/q-alg/9412006v1

Mathematics

Quantum Algebra

14 pages (AMS-LaTeX)

Scientific paper

A noncommutative-geometric generalization of the classical concept of spinor
structure is presented. This is done in the framework of the formalism of
quantum principal bundles. In particular, analogs of the Dirac operator and the
Laplacian are introduced and analyzed. A general construction of examples of
quantum spaces with a spinor structure is presented.

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