Journal of Lie Theory Vol. 12, No. 2, pp. 461481 (2002) 

MoorePenrose Inverse, Parabolic Subgroups, and Jordan PairsE. TevelevEvgueni TevelevMoscow Independent University 121002, B. Vlas'evsky 11, Moscow, Russia tevelev@mccme.ru Abstract: A MoorePenrose inverse of an arbitrary complex matrix $A$ is defined as a unique matrix $A^+$ such that $AA^+A=A$, $A^+AA^+=A^+$, and $AA^+$, $A^+A$ are Hermite matrices. We show that this definition has a natural generalization in the context of shortly graded simple Lie algebras corresponding to parabolic subgroups with {\it aura} (abelian unipotent radical) in simple complex Lie groups, or equivalently in the context of simple complex Jordan pairs. We give further generalizations and applications. Full text of the article:
Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.
© 2002 Heldermann Verlag
