Alekseevsky, Dmitri V.; David, Liana Invariant generalized complex structures on Lie groups. (English) Zbl 1264.53035 Proc. Lond. Math. Soc. (3) 105, No. 4, 703-729 (2012). The authors describe a class (called regular) of invariant generalized complex structures on a real semisimple Lie group \(G\). In the case when \(G\) is a semisimple Lie group of inner type (in particular, when \(G\) is compact semisimple), a classification of regular generalized complex structures on \(G\) is given. They show that any invariant generalized complex structure on a compact semisimple Lie group is regular, provided that an additional natural condition is satisfied. Reviewer: R. Iordanescu (Bucureşti) Cited in 6 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C30 Differential geometry of homogeneous manifolds 53C80 Applications of global differential geometry to the sciences PDFBibTeX XMLCite \textit{D. V. Alekseevsky} and \textit{L. David}, Proc. Lond. Math. Soc. (3) 105, No. 4, 703--729 (2012; Zbl 1264.53035) Full Text: DOI arXiv