Homogeneous Hypercomplex Structures II - Coset Spaces of compact Lie\n Groups

2012/04/23 by George Dimitrov, Dimitrov, George, Vasil Tsanov +1
Mathematics · #17B22 #22E46 #53Cxx #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1204.5222

openalex publication_date 2012/04/23 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We obtain a complete classification of hypercomplex manifolds, on which a\ncompact group of automorphisms acts transitively.\n The description of the spaces as well as the proofs of our results use only\nthe structure theory of reductive groups, in particular the notion of "stem" of\na reduced root system, introduced in the first paper of this series.\n

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