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Showing 1 to 3 of 3 for “"Manin triples"”.
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Lie Theory in Generalized Kähler Geometry
… of GK structures in terms of holomorphic Manin triples. Throughout this approach, we discovered an intimate connection between GK geometry and double structures invented by Ehresmann and further developed by Mackenzie in the fields of Poisson geometry and Lie theory.We introduce and …
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Lie Algebras of Differential Operators and D-modules
… fixed points. We also describe the associated Manin triples, emphasizing the similarities and differences with the case of smooth symbols on the circle. The second problem is related to the geometry of differential operators and its connection with representations of semi-simple Lie algebras. …
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On a class of extended toroidal Lie algebras coming from untwisted affine Yangians
… on $\toroidal$ can by constructed by means of Manin triples of the form: $$(\toroidal, \toroidal^{\positive}, \toroidal^{\negative})$$ In doing so, we must endow $\toroidal$ with an invariant bilinear form satisfying some conditions, but an issue that we will encounter in attempting this is …