Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.06.004
Abstract: Abstract In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of flag manifolds. We prove that all these left-invariant geodesic orbit metrics… read more here.
Keywords: geodesic orbit; simple lie; flag manifolds; lie groups ... See more keywords
Kähler structures on quantum irreducible flag manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.07.008
Abstract: Abstract We prove that all quantum irreducible flag manifolds admit Kahler structures, as defined by O Buachalla. In order to show this result, we also prove that the differential calculi defined by Heckenberger and Kolb… read more here.
Keywords: irreducible flag; quantum irreducible; structures quantum; flag manifolds ... See more keywords
Invariant generalized complex structures on flag manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103610
Abstract: Abstract Let G be a complex semi-simple Lie group and form its maximal flag manifold F = G ∕ P = U ∕ T where P is a minimal parabolic subgroup, U a compact real… read more here.
Keywords: generalized complex; invariant generalized; structures flag; flag manifolds ... See more keywords
Cohomology rings of the real and oriented partial flag manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107239
Abstract: Abstract We show, in contrast to the cases of complex and quaternionic partial flag manifolds, the rational cohomology rings of the real and oriented partial flag manifolds are generated not only by the characteristic classes… read more here.
Keywords: real oriented; rings real; partial flag; flag manifolds ... See more keywords