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WHATIS SEMINAR Spring 2013
Notes from the Talk
Spring 2013
Office hours:
Monday 2:00-3:00pm, or by appointment
Math 649
Tue, 2:50-4:20pm
Thu 2:50pm-3:55pm, 205 Malott
Lectures from 2002
Week 1
Week 2
Handwritten Notes from Lecture 3 and 4
Week 3
Summary of Main Properties of Lie Groups
Summary of Main Properties of Category O
Week 4, Nilpotent, Solvable Algebras, Lie's and Engel's theorem,
Cartan's criteria, Cartan subalgebras
February 26, Cartan's criteria
February 28, Semisimple algebras
March 5, Structure of Semisimple Algebras
March 7, Complete Reducibility
Extensions of Modules
March 12, Lie Algebra Cohomology
March 14, Lie Algebra Cohomology
March 26, Lie Algebra Cohomology
March 28, Levi's theorem
April 2-4, Root systems and the Weyl group
April 9, Classification of root systems
April 11, Information about simple root systems
April 11, Classification of root systems
April 16-19, Lie algebras associated to generalized Cartan matrices
Realization of untwisted Affine Kac-Moody algebras
April 23-25, Finite dimensional representations
April 30, Harish-Chandra homomorphism
Final Projects
Lie Groups Seminar
Submit Seminar
Announcement
Short notes on various subjects
Preprints
- Spherical Unitary dual for split classical groups, 2008:
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- Relevant and petite K-types:
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- Slides for talks on relevant and petite K-types
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Some Talks
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Unitary spherical dual for quasisplit real groups, UTAH 2009:
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Unitary spherical dual for complex classical groups, HKUST 2008:
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- Talks at MCM 2008
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Oberwolfach 2000, I-spherical unitary dual:
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Hong Kong 2000, I-spherical unitary dual:
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Grenoble/Paris 2001, Unitary representations and Hecke algebras:
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Unitary spherical dual for p-adic and real split groups, AIM 2003:
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Primitive Ideals and Unitarity, 2006:
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