Algebras of invariant functions on the Šilov boundary of generalized half-planes
Algebras of invariant functions on the Šilov boundary of generalized half-planes
Let $\mathcal {N}$ be the nilpotent Lie group identified to the Å ilov boundary of a symmetric generalized half-plane $\mathcal {D}$ and $L$ a compact group acting on $\mathcal {N}$ by automorphisms, arising from the realization of $\mathcal {D}$ as hermitian symmetric space. Is then $(L \ltimes \mathcal {N},L)$ a …