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A triple construction for Lie bialgebras

Grabowski, Jan (2005) A triple construction for Lie bialgebras. Pacific Journal of Mathematics, 221 (2). pp. 281-301. ISSN 0030-8730

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    Abstract

    We study the triple of a quasitriangular Lie bialgebra as a natural extension of the Drinfel’d double. The triple is itself a quasitriangular Lie bialgebra. We prove several results about the triple’s algebraic structure, analogous to known results for the Drinfel’d double: among them, that in the factorisable case the triple is isomorphic to a twisting of g ⊕ g ⊕ g by a certain cocycle. We also consider real forms of the triple and the triangular case.

    Item Type: Article
    Journal or Publication Title: Pacific Journal of Mathematics
    Uncontrolled Keywords: Triple ; Lie bialgebra ; Drinfel'd double
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 50147
    Deposited By: ep_importer_pure
    Deposited On: 28 Sep 2011 10:15
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Oct 2013 12:45
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/50147

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