ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 70,   2   (2001)
pp.   251-263

NAMBU-LIE GROUP ACTIONS
N. Ciccoli


Abstract.  The purpose of this work is to describe the action of Nambu-Lie groups on Nambu spaces and to identify Nambu quotients. In this process we introduce a notion of dual Lie group of a Nambu-Lie group and as an example we generalize dressing actions.

AMS subject classification.  Primary 58F05 53C15 22E99
Keywords.  Nambu-Lie group, homogeneous space, Leibniz algebra

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