The Atlas of Lie Groups: Expository Papers

All papers are pdf format unless otherwise noted.

Notes from the workshop at Maryland, March 15-18, 2008

Notes from the AIM workshop, Palo Alto, July 2007 (schedule of talks)

Notes from the AIM workshop, MIT, March 2007 Notes from the AIM workshop, Palo Alto, July 2006 (schedule of talks)
  • Notes from the AIM workshop, Palo Alto, July 2005 (schedule of talks)
  • Notes from the AIM workshop, Palo Alto, July 2004

  • Notes from the AIM workshop, Palo Alto, Summer 2003

    Algorithms for Representation theory of Real Groups by Jeffrey Adams and Fokko du Cloux [updated 6/9/08] (This was originally listed under the Summerm 2006 talks). Here is a dvi file.

    Assigning Representation Parameters to Atlas Block Output by Annegret Paul. How to convert the output of the block command into understandable by a human.

    Implementation of the Kazhdan-Lusztig algorithm (pdf version). These are technical notes about computing Kazhdan-Lusztig-Vogan polynomials for real groups. They were written by Fokko du Cloux for his own use.
    Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups by Jeffrey Adams (dvi file). (Former title: Examples of the Atlas Software)

    Discrete Series and Characters of the Component Group by Jeffrey Adams
    Representations of K - by David Vogan (updated 3/27/06) - detailed description of the irreducible representations of K in terms suitable for the Atlas (dvi file). Also see notes by Peter Trapa from Palo Alto, 2005 (above)
    A note on Kazhdan-Lusztig conjecture and signature of invariant Hermitian forms (notes by Fokko du Cloux)

    Some Notes on Parametrizing Representations by Jeffrey adams (dvi) - these are some technical notes, for the experts

    Strong real forms and the Kac classification by Jeffrey Adams (dvi) an expository treatment of the Kac classification of real forms

    Computing the Unitary Dual by David A. Vogan Jr.

    A Langlands Classification for Unitary Representations by David A. Vogan Jr., from Advanced Studies in Pure Mathematics, Volume 26 (1998), pp. 1-16

    Lecture by Jeffrey Adams at Rutgers, March 7, 2003

    Minicourse by J. Adams at the University of Maryland, October 2002:

       Lecture I: Finite groups and SL(2,R)

       Lecture II: Root systems and Weyl groups

       Lecture III: Unitary Representations of real Lie groups, with an appendix on mathematical software

    Powerpoint slides of lecture by J. Adams, Singapore, August 2002

    Notes from lectures by by David A. Vogan Jr., Montreal, June 2002

    Notes for lectures at Snowbird, June 4-8, 2006; and the slides from the lectures.

    Talk by Jeffrey Adams at the Washington/Baltimore meeting of SIAM, November 2004


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