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Bonechi, F.; Ciccoli, N.; Dąbrowski, L.; Tarlini, M.

Bijectivity of the canonical map for the non-commutative instanton bundle. (English) Zbl 1093.81039

J. Geom. Phys. 51, No. 1, 71-81 (2004).
Summary: It is shown that the quantum instanton bundle introduced in [F. Bonechi, N. Ciccoli and M. Tarlini, Commun. Math. Phys. 226, 419–432 (2002; Zbl 0992.81039)] has a bijective canonical map and is, therefore, a coalgebra Galois extension.

Cited in 8 Documents

MSC:

81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
58B34 Noncommutative geometry (à la Connes)
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
58B32 Geometry of quantum groups
81R60 Noncommutative geometry in quantum theory
17B37 Quantum groups (quantized enveloping algebras) and related deformations

Keywords:

non-commutative geometry; quantum groups; quantum spheres; instanton quantum bundle; coalgebra Galois extension

Citations:

Zbl 0992.81039
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Full Text: DOI arXiv

References:

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