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Dirac Lie Groups | | David Li-Bland
; Eckhard Meinrenken
; | | Date: |
7 Oct 2011 | | Abstract: | A classical theorem of Drinfel’d states that the category of simply connected
Poisson Lie groups H is isomorphic to the category of Manin triples (d, g, h),
where h is the Lie algebra of H. In this paper, we consider Dirac Lie groups,
that is, Lie groups H endowed with a multiplicative Courant algebroid A and a
Dirac structure E /subset A for which the multiplication is a Dirac morphism.
It turns out that the simply connected Dirac Lie groups are classified by
so-called Dirac Manin triples. We give an explicit construction of the Dirac
Lie group structure defined by a Dirac Manin triple, and develop its basic
properties. | | Source: | arXiv, 1110.1525 | | Services: | Forum | Review | PDF | Favorites | |
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