On quantizing A-bundles over Hamilton G-spaces
J.-E. Werth (1976)
Annales de l'I.H.P. Physique théorique
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J.-E. Werth (1976)
Annales de l'I.H.P. Physique théorique
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Narasimhan, M. S.
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Andrew James Bruce (2024)
Archivum Mathematicum
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We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence of left-invariant vector fields. Furthermore, we show how such manifolds are related to Lie groups and establish the analogue of principal bundles in this ternary setting. In particular, we generalise the well-known ‘heapification’ functor to the ambience of Lie groups and principal bundles.
Hanspeter Kraft, Gerald W. Schwarz (1992)
Publications Mathématiques de l'IHÉS
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C. Duval (1981)
Annales de l'I.H.P. Physique théorique
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Indranil Biswas, Andrei Teleman (2014)
Open Mathematics
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Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction...