Minimal representations are the ''smallest'' infinite dimensional unitary representations. The Weil representation, which plays a prominent role in number theory, is a classic example.Minimal representations of reductive groups are also considered as one of building blocks of unitary representations.
In this talk, I plan to discuss various aspects of minimal representations, ranging from algebra to analysis, mostly from my own taste that led me to my long project in this area.
Some of my references may be found in the following web page:
https://www.ms.u-tokyo.ac.jp/~toshi/pub/pub-minimal-representations.html
© Toshiyuki Kobayashi