6533b839fe1ef96bd12a592b

RESEARCH PRODUCT

Actions of complex Lie groups on analytic ?-algebras

Gerd Müller

subject

AlgebraAdjoint representation of a Lie algebraRepresentation of a Lie groupGeneral MathematicsSimple Lie groupLie algebraReal formLie theoryKrull dimensionRepresentation theoryMathematics

description

On a reduced analytic .ℂ-algebraR there are faithful analytic actions of complex Lie groups of arbitrarily high dimension if and only ifR has Krull dimension ≥2.

https://doi.org/10.1007/bf01364341