INVESTIGADORES
CAGLIERO Leandro Roberto
artículos
Título:
Nilradicals of parabolic subalgebras admitting symplectic structures
Autor/es:
LEANDRO CAGLIERO; VIVIANA DEL BARCO
Revista:
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 46 p. 1 - 13
ISSN:
0926-2245
Resumen:
In this paper we describe all the nilradicals of parabolic subalgebras of split real simple Lie algebras admitting symplectic structures.The main tools used to obtain this list are Kostant´s description of the highest weight vectors (hwv) of the cohomology of these nilradicals and some necessary conditions obtained for the gg-hwv´s of H2(n)H2(n) for a finite dimensional real symplectic nilpotent Lie algebra nn with a reductive Lie subalgebra of derivations gg acting on it.