DjVu

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The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "Representation Theory of Lie Groups" from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field. This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish–Chandra–Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan’s conjecture, multiplicity-free actions and Schur–Weyl–Howe duality. The lecturers include Tomasz Przebinda from the University of Oklahoma, USA Gordan Savin from the University of Utah, USA Stephen DeBacker from Harvard University, USA Marko Tadi? from the University of Zagreb, Croatia Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong Pavle Pandzi? from the University of Zagreb, Croatia Chal Benson and Gail Ratcliff from East Carolina University, USA and Roe Goodman from Rutgers University, USA.