caa a22 4500 606200649 CHVBK 20210128100944.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00025-014-0392-4 doi (NATIONALLICENCE)springer-10.1007/s00025-014-0392-4 Homogeneous Einstein Metrics on Certain Generalized Flag Manifolds with Six Isotropy Summands [Elektronische Daten] [Yu Wang, Guosong Zhao] For a generalized flag manifold M = G/K of a compact connected simple Lie group G whose isotropy representation decomposes into more than five isotropy summands, there are only a few results about the homogeneous Einstein metrics on M. Finding the invariant Einstein metrics on generalized flag manifolds, there are two difficulties. One is computing the non-zero structure constants, the other is computing the Gröbner basis of the system of Einstein equations. In this paper, we give a method (Theorem A) which can be used to calculate structure constants of generalized flag manifolds with any number of isotropy summands. In this direction we present invariant Einstein metrics on some flag manifolds of exceptional groups with six isotropy summands. Springer Basel, 2014 Generalized flag manifolds nationallicence Einstein metric nationallicence isotropy representation nationallicence symmetric $${\mathfrak{t}}$$ t -triples nationallicence Wang Yu Department of Mathematics, Sichuan University, 610064, Chengdu, People's Republic of China aut Zhao Guosong Department of Mathematics, Sichuan University, 610064, Chengdu, People's Republic of China aut Results in Mathematics Springer Basel 67/1-2(2015-02-01), 1-47 1422-6383 67:1-2<1 2015 67 25 https://doi.org/10.1007/s00025-014-0392-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-014-0392-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Yu Department of Mathematics, Sichuan University, 610064, Chengdu, People's Republic of China aut NATIONALLICENCE 700 1- Zhao Guosong Department of Mathematics, Sichuan University, 610064, Chengdu, People's Republic of China aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 67/1-2(2015-02-01), 1-47 1422-6383 67:1-2<1 2015 67 25