Lie algebras with complex structures having nilpotent eigenspaces

Autor: Luiz A. B. San Martin, Edson Carlos Licurgo Santos

Publikováno v: Proyecciones (Antofagasta), Volume: 30, Issue: 2, Pages: 247-263, Published: 2011
Proyecciones (Antofagasta) v.30 n.2 2011
SciELO Chile
CONICYT Chile
instacron:CONICYT

Let (g,[·,·]) be a Lie algebra with an integrable complex structure J. The ±i eigenspaces of J are complex subalgebras of gC isomorphic to the algebra (g,[*]J) with bracket [X * Y]J = 1/2 ([X,Y] − [JX, JY]). We consider here the case wh

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