Tabla de Contenidos:
  • ""Contents""; ""Preface""; ""Reproducing kernels in representation theory""; ""Introduction""; ""1. Classical Bergman, Hardy, and Fock spaces""; ""2. Elementary geometric representation theory""; ""3. Reproducing kernels on vector bundles""; ""4. Applications""; ""5. Outlook""; ""References""; ""Actions of complex Lie groups and the Borelâ€?Weil correspondence""; ""1. Lie group actions""; ""2. Structure of Lie algebras and Lie groups""; ""3. Homogeneous manifolds and representations""; ""References""; ""On complex automorphisms and holomorphic equivalence of domains""; ""Introduction""
  • ""1. Bounded domains in Cn""""2. Kobayashi hyperbolicity""; ""3. Pseudoconvex domains""; ""4. Completely circular domains""; ""Exceptional symmetric domains""; ""Introduction""; ""1. Cayley algebras""; ""2. Exceptional Jordan triple systems""; ""3. The exceptional symmetric domains""; ""References""; ""Seibergâ€?Witten equations and pseudoholomorphic curves""; ""Index""