The characters of some induced representations of semisimple Lie groups
The characters of some induced representations of semisimple Lie groups
Introduction. Let G be a simply connected semisimple Lie group.Let 0 be its Lie algebra and let fi0 0+ P0 be a Cartan decom- position of 60, where f0 is a maximal compact subalgebra of fl0.Let us fix arbitrarily a maximal abelian subalgebra 0 of P0.Let and )-be the complexifications …