Invariant generalized complex structures on partial flag manifolds

The aim of this paper is to classify all invariant generalized complex structures on a partial flag manifold FΘ with at most four isotropy summands. To classify them all we proved that an invariant generalized almost complex structure on FΘ is ‘constant’ in each component of the isotropy representat...

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Bibliographic Details
Published inIndagationes mathematicae Vol. 31; no. 4; pp. 536 - 555
Main Author Varea, Carlos A.B.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.07.2020
Elsevier Science Ltd
Subjects
Classification
Flag manifolds
Flags
Generalized complex structures
Homogeneous space
Invariants
Isotropy
Manifolds
Semisimple lie groups
Flag manifolds
Semisimple lie groups
Homogeneous space
Generalized complex structures
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Summary:The aim of this paper is to classify all invariant generalized complex structures on a partial flag manifold FΘ with at most four isotropy summands. To classify them all we proved that an invariant generalized almost complex structure on FΘ is ‘constant’ in each component of the isotropy representation.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2020.04.003