The theme of this volume concerns interactions between group actions and problems in complex analysis. The first four articles deal with such topics as representation kernels in representation theory, complex automorphisms and holomorphic equivalence of domains, and geometric description of exceptional symmetric domains. The last article is devoted to Seiberg-Witten equations and Taubes correspondence on symplectic 4-manifolds.
Reproducing kernels in representation theory by J. Hilgert Actions of complex Lie groups and the Borel-Weil correspondence by A. Huckleberry On complex automorphisms and holomorphic equivalence of domains by J.-J. Loeb Exceptional symmetric domains by G. Roos Seiberg-Witten equations and pseudoholomorphic curves by A. Sergeev Index.