Quantum Principal Bundles up to Homotopy Equivalence

Christian Kassel

A chapter in The Legacy of Niels Henrik Abel, 2004, pp 737-748 from Springer

Abstract: 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.”

Keywords: Hopf Algebra; Commutative Algebra; Principal Bundle; Galois Extension; Algebraic Counterpart (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18908-1_25

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DOI: 10.1007/978-3-642-18908-1_25

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