This volume contains papers that originally appeared in Japanese in the journal Sūgaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication the Society has chosen to publish them as a volume of selected papers. The papers range over a variety of topics, including representation theory, differential geometry, invariant theory, and complex analysis.

Readership

Graduate students and research mathematicians.

Table of Contents

• T. Kobayashi -- Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory
• M. A. Guest and Y. Ohnita -- Actions of loop groups, deformations of harmonic maps, and their applications
• T. Umeda -- The Capelli identities, a century after
• K. Koike -- On representation of the classical groups
• K. Saito -- Around the theory of the generalized weight system: Relations with singularity theory, the generalized Weyl group and its invariant theory, etc.