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Modular spaces of low-dimensional Drinfeld doubles. (English) Zbl 1043.81029

Slovák, Jan (ed.) et al., The proceedings of the 23th winter school “Geometry and physics”, Srní, Czech Republic, January 18–25, 2003. Palermo: Circolo Matemàtico di Palermo. Suppl. Rend. Circ. Mat. Palermo, II. Ser. 72, 193-202 (2004).
Summary: We construct the modular space of the semiabelian 4-dimensional Drinfeld double and present also the results for six-dimensional semisimple Drinfeld doubles. Implications for Poisson-Lie T-duality and especially Poisson-Lie T-plurality are mentioned.
For the entire collection see [Zbl 1034.53002].

MSC:

81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
17B62 Lie bialgebras; Lie coalgebras
46A80 Modular spaces
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