On Gelfand-Kirillov dimensions of (g;A)-modules?,

TIRABOSCHI, ALEJANDRO

COMMUNICATIONS IN ALGEBRA

TAYLOR & FRANCIS INC

Lugar: Londres; Año: 1992 vol. 20 p. 999 - 1017

0092-7872

Let G be a real connected semisimple real Lie group and let be Aa connected reductive subgroupg,athe complexified Lie algebras of Gand A respectively; assume (g,a) is a regular pair.In this paper we study general properties of (g, A)-modules, and we prove for two particular cases that every admissible (g, A)-module with an infinitesimal character has finite length.We also compute Gelfand-Kiriilov dimensions for some modules and a number (Vogan´s dimension) related to it.Finally we construct a virtual (g,A)-module with?minimal?Vogan´s dimension.