Papers · Workshop notes
Notes from the AIM workshops
Notes and slides from atlas workshops at AIM (Palo Alto), MIT and Maryland, 2003–2008.
All papers are in PDF format unless otherwise noted.
AIM workshop, Palo Alto, July 2008
More W-Graphs and Cells: Molecular Components and Cell Synthesis
John Stembridge
Assigning Representation Parameters to Atlas Block Output
Annegret Paul
Affine Weyl group and coherent families
David Vogan (notes by Siddhartha Sahi)
Workshop at Maryland, March 15–18, 2008
John Stembridge (slides for John’s talk at MSRI)
Nilpotent Orbits Associated to Coxeter Cells
Alfred Noel and Stephen Jackson
David Vogan (notes by Annegret Paul)
Real Reductive Subgroups of Equal Rank
David Vogan (notes by Tatiana Howard)
Tau Signatures, Cells and Orbits
Birne Binegar
Jeffrey Adams (notes by Dan Ciubotaru)
David Vogan (notes by Siddhartha Sahi)
Parametrizing Real Even Nilpotent Coadjoint Orbits using Atlas
Peter Trapa
AIM workshop, Palo Alto, July 2007
Schedule of talks (text file)
Computing Global Characters Using Atlas
Jeffrey Adams (revised 4/20/2011)
Birne Binegar
Peter Trapa (notes by Peter Trapa and Patrick Polo)
David Vogan (notes by Patrick Polo)
Monty McGovern (notes by Patrick Polo)
David Vogan (notes by Patrick Polo)
John Stembridge
How to attach a representation to a pair (x,y)
Annegret Paul
Functors for Matching Kazhdan-Lusztig polynomials for GL(n,R)
Peter Trapa and Dan Ciubotaru (slides from talk)
Bala-Carter type classification of nilpotent orbits of real Lie groups
Alfred Noel
AIM workshop, MIT, March 2007
On a Family of Nilpotent K(C) orbits
Birne Binegar
Composition Factors for the Graded Hecke Algebra
Dan Ciubotaru and Peter Trapa
Algorithms for Representation Theory
Scott Crofts
Multiplicities of K-types in Principal Series
Alessandra Pantano
On the omega-regular unitary representations of Mp(2n,R)
Susana Salamanca and Annegret Paul
Some observations about Kazhdan-Lusztig Polynomials
David Vogan
Wai-Ling Yee
Software for computing standard representations
Alfred Noel
AIM workshop, Palo Alto, July 2006
Schedule of talks (text file)
Closure Relations of K-orbits on G/B
Scott Crofts
Peter Trapa
John Stembridge
A brief demonstration of how to use the Coxeter package to do calculations with Ŵ
John Stembridge (text file)
Software Project: Weakly Fair Aq(λ)
Jeffrey Adams
On the Computations of Characteristic Cycles of Harish-Chandra Modules
Peter Trapa
Representations with Non-integral infinitesimal character
Annegret Paul
On the double cover of split F and its petite K-types
Alessandra Pantano
Parametrizing representations of K
David Vogan (notes by Alfred Noel)
On the Unitary Dual of Hecke Algebras with Unequal Parameters
Dan Ciubotaru
Also Dan’s notes from Snowbird on Spherical Unitary Representations for Split Groups (dvi file)
User Guide to the Atlas Software
Jeffrey Adams (very early version; dvi file)
Specifications for Version 1.0 of the software
Jeffrey Adams (updated 3/16/07)
Cells in Weyl Groups and Primitive Ideals
Dan Barbasch (notes by Dan Ciubotaru)
Signatures and Cohomological Induction
Wai Ling Yee
AIM workshop, Palo Alto, July 2005
Schedule of talks (text file)
Siddhartha Sahi (dvi file)
Jeffrey Adams (revised from last year)
Real Forms and Strong Real Forms: Quick Reference Guide
Jeffrey Adams
Combinatorics for the representation theory of real reductive groups
Fokko du Cloux
Computing K-type multiplicities in standard representations (after Vogan)
Peter Trapa (updated 8/22/05)
Unitarity of non-spherical principal series
Alessandra Pantano
Petite and Relevant K-types for exceptional groups
Alessandra Pantano
See Alessandra Pantano’s notes on the unitary dual of split real groups from last year and Susana Salamanca’s notes for David’s talks (below).
Computing Discrete Series Multiplicities in the Connected Case (the Blattner formula)
John Stembridge
Signatures of Invariant Hermitian Forms on Highest Weight Modules
Wai Ling Yee
AIM workshop, Palo Alto, July 2004
Jeffrey Adams (preliminary version)
Background on the Spherical Unitary Dual
Dan Barbasch (dvi file)
Algorithms for Structure Theory
Fokko du Cloux
Weyl group representations and signatures of intertwining operators
Alessandra Pantano
Applying unitarity tests in the Weyl group
John Stembridge
Non-Cellularity of Signatures?
John Stembridge
David Vogan (notes by Peter Trapa)
Notes on the unitary dual of real split groups
David Vogan (notes by Alessandra Pantano)
Overview File unavailable
David Vogan (notes by Susana Salamanca)
AIM workshop, Palo Alto, Summer 2003
Unitary Dual for P-Adic Groups of Type F4
Dan Ciubotaru
Lecture Notes for AIM/Atlas of Lie Groups Workshop
John Stembridge
Computing Kazhdan-Lusztig polynomials for real Lie groups
Fokko du Cloux
Generic unitary spherical parameters
Jiu-Kang Yu
David A. Vogan, Jr.
Siddhartha Sahi