Kavli Affiliate: Toshiyuki Kobayashi
| First 5 Authors: Toshiyuki Kobayashi, , , ,
| Summary:
How does an irreducible representation of a group behave when restricted to a
subgroup? This is part of branching problems, which are one of the fundamental
problems in representation theory, and also interact naturally with other
fields of mathematics.
This expository paper is an up-to-date account on some new directions in
representation theory highlighting the branching problems for real reductive
groups and their related topics ranging from global analysis of manifolds via
group actions to the theory of discontinuous groups beyond the classical
Riemannian setting.
This article is an outgrowth of the invited lecture that the author delivered
at the commemorative event for the 70th anniversary of the re-establishment of
the Mathematical Society of Japan, and originally appeared in Japanese in
Sugaku 71 (2019).
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