Howe's Rank and Dual Pair Correspondence in Semistable Range

ISBN-13: 9783659851551 / Angielski / Miękka / 2016 / 144 str.

Hongyu He

Opis

In this book, we study representations of classical Lie groups based on the analysis on Euclidean spaces. Classical groups come in pairs, known as the dual reductive pairs. The main theme of this book is to develope the ideas initiated by A. Weil, R. Howe and others concerning the oscillator representation and dual pair correspondence. The results from this book can be used to construct unipotent representations and study the branching laws.

O autorze

Dr. Hongyu He is an associate professor of mathematics at the Louisiana State University. He obtained his Ph.D. in math from the Massachusetts Institute of Technology. He held visiting positions at Cornell University, NUS, Tsinghua University and Yale University. His research interests include representation theory and harmonic analysis.