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Quantum Principal Bundles up to Homotopy Equivalence

In: The Legacy of Niels Henrik Abel

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  • Christian Kassel

Abstract

Hopf-Galois extensions are known to be the right generalizations of both Galois field extensions and principal G-bundles in the framework of non-commutative associative algebras. An abundant literature has been devoted to them by Hopf algebra specialists (see [11], [14], [15] and references therein). Recently there has been a surge of interest in Hopf-Galois extensions among mathematicians and theoretical physicists working in non-commutative geometry a la Connes and à la Woronowicz (cf. [2], [3], [6], [7], [8], [9]). In their work Hopf-Galois extensions are considered in the setting of “quantum group gauge theory.”

Suggested Citation

  • Christian Kassel, 2004. "Quantum Principal Bundles up to Homotopy Equivalence," Springer Books, in: Olav Arnfinn Laudal & Ragni Piene (ed.), The Legacy of Niels Henrik Abel, pages 737-748, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18908-1_25
    DOI: 10.1007/978-3-642-18908-1_25
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