Lie algebras with complex structures having nilpotent eigenspaces

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 where these subalgebras are nilpotent and prove that the orig...

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Bibliographic Details
Main Authors: Licurgo Santos,Edson Carlos, San Martin,Luiz A. B
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2011
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000200008
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