Abstract
We obtain a complete list of homogeneous hypercomplex structures on the compact Lie groups. The substantial results are formulated and proved entirely in terms of the structure theory of Lie groups and algebras.
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(G. DIMITROV) Supported by the European Operational program HRD contract BGO051PO001/07/3.3-02/53 and grants ERC GEMIS, FWF P 25901, FWF P 23665, FWF P20778.
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DIMITROV, G., TSANOV, V. HOMOGENEOUS HYPERCOMPLEX STRUCTURES I–THE COMPACT LIE GROUPS. Transformation Groups 21, 725–762 (2016). https://doi.org/10.1007/s00031-016-9367-8
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DOI: https://doi.org/10.1007/s00031-016-9367-8