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Abstract: We describe some results on the classification of bialgebra structures on a real semisimple Lie algebra. We first describe the possible Manin algebras (i.e. big algebra in the Manin triple ) for such a bialgebra structure. We then determine all the bialgebra structures on a real semisimple Lie algebra for the nonzero standard modified Yang-Baxter equation. Finally we consider the case of a real simple Lie algebra the complexification of which is not simple and we give some partial results about ... (Update)
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BibTeX entry: (Update)
@misc{ chloup-bialgebra,
author = "Veronique Chloup",
title = "Bialgebra structures on a real semisimple Lie algebra.",
url = "citeseer.ist.psu.edu/chloup95bialgebra.html" }
Citations (may not include all citations):49 Lie groups and symmetric spaces (context) - HELGASON, erential
24 Quasi-Hopf algebra (context) - DRINFELD - 1990
7 The triangle equations and simple Lie algebras (context) - BELAVIN, DRINFELD - 1982
2 Some remarks on the classification of Poisson Lie groups (context) - CAHEN, GUTT et al. - 1993
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