Quantum symmetry groups of noncommutative spheres

Varilly, Joseph C.

doi:10.1007/s002200100490

Quantum symmetry groups of noncommutative spheres

Joseph C. Varilly
(
- Costa Rica U.
)

Feb, 2001

14 pages

Published in:

Commun.Math.Phys. 221 (2001) 511-523

e-Print:

math/0102065 [math.QA]

DOI:

10.1007/s002200100490

Report number:

UCR-CIMM-1-01

View in:

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Abstract:

We show that the noncommutative spheres of Connes and Landi are quantum homogeneous spaces for certain compact quantum groups. We give a general construction of homogeneous spaces which support noncommutative spin geometries.

Note:

14 pages, Latex, one more reference added, final publication version Report-no: UCR-CIMM-1-01 Subj-class: Quantum Algebra MSC-class: 58B34 (Primary), 20G42 (Secondary) Journal-ref: Commun.Math.Phys. 221 (2001) 511-523

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