Tohoku Mathematical Journal
2000
March
SECOND SERIES VOL. 52, NO. 1

Tohoku Math. J.
52 (2000), 19-29

Title MAXIMAL ISOTROPY GROUPS OF LIE GROUPS RELATED TO NILRADICALS OF PARABOLIC SUBALGABRAS

Author Ignacio Bajo

(Received March 9, 1998, revised October 7, 1999)
Abstract. We consider Lie groups whose Lie algebra is the nilradical of a parabolic subalgebra of a complex simple Lie algebra, endowed with left-invariant Hermitian metrics. For such Riemannian Lie groups, we describe the Lie algebras of their maximal isotropy groups.

1991 Mathematics Subject Classification. Primary 53C30; Secondary 53C55, 22E25, 17B40.

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