Papers & Notes

AIM Workshop Notes

Notes from Atlas of Lie Groups workshops at AIM (Palo Alto) and other institutions, 2003–2008.

AIM Workshop, Palo Alto — July 2008

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01More W-Graphs and Cells: Molecular Components and Cell SynthesisJohn Stembridge

02Assigning Representation Parameters to Atlas Block OutputAnnegret Paul

03Affine Weyl group and coherent familiesDavid Vogan (notes by Siddhartha Sahi)

Workshop at Maryland — March 15–18, 2008

01Admissible W-GraphsJohn Stembridge (slides for MSRI talk)

02Nilpotent Orbits Associated to Coxeter CellsAlfred Noel and Stephen Jackson

03Honest Arthur PacketsDavid Vogan (notes by Annegret Paul)

04Real Reductive Subgroups of Equal RankDavid Vogan (notes by Tatiana Howard)

05Tau Signatures, Cells and OrbitsBirne Binegar

06StabilityJeffrey Adams (notes by Dan Ciubotaru)

07Generalized InductionDavid Vogan (notes by Siddhartha Sahi)

08Parametrizing Real Even Nilpotent Coadjoint Orbits using AtlasPeter Trapa

AIM Workshop, Palo Alto — July 2007

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01Computing Global Characters Using AtlasJeffrey Adams (revised 4/20/2011)

02A fine partitioning of cellsBirne Binegar

03CellsPeter Trapa (notes by Peter Trapa and Patrick Polo)

04More CellsDavid Vogan (notes by Patrick Polo)

05Nilpotent OrbitsMonty McGovern (notes by Patrick Polo)

06Associated VarietiesDavid Vogan (notes by Patrick Polo)

07Synthetic W-Graphs and cellsJohn Stembridge

08How to attach a representation to a pair (x,y)Annegret Paul

09Functors for Matching Kazhdan-Lusztig polynomials for GL(n,R)Peter Trapa and Dan Ciubotaru (slides)

10Bala-Carter type classification of nilpotent orbits of real Lie groupsAlfred Noel

AIM Workshop, MIT — March 2007

01On a Family of Nilpotent K(C) orbitsBirne Binegar

02Composition Factors for the Graded Hecke AlgebraDan Ciubotaru and Peter Trapa

03Algorithms for Representation TheoryScott Crofts

04Multiplicities of K-types in Principal SeriesAlessandra Pantano

05On the omega-regular unitary representations of Mp(2n,R)Susana Salamanca and Annegret Paul

06Some observations about Kazhdan-Lusztig PolynomialsDavid Vogan

07Signatures of Invariant Hermitian Forms on Irreducible Highest Weight Modules and Signed Kazhdan-Lusztig PolynomialsWai-Ling Yee

08Software for computing standard representationsAlfred Noel

AIM Workshop, Palo Alto — July 2006

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01Closure Relations of K-orbits on G/BScott Crofts

02Computing Real Weyl GroupsPeter Trapa

03A Practical View of ŴJohn Stembridge

04Software Project: Weakly Fair A_q(lambda)Jeffrey Adams

05On the Computations of Characteristic Cycles of Harish-Chandra ModulesPeter Trapa

06Representations with Non-integral infinitesimal characterAnnegret Paul

07On the double cover of split F and its petite K-typesAlessandra Pantano

08Parametrizing representations of KDavid Vogan (notes by Alfred Noel)

09On the Unitary Dual of Hecke Algebras with Unequal ParametersDan Ciubotaru

10Cells in Weyl Groups and Primitive IdealsDan Barbasch (notes by Dan Ciubotaru)

11Signatures and Cohomological InductionWai Ling Yee

12Specifications for Version 1.0 of the softwareJeffrey Adams (updated 3/16/07)

AIM Workshop, Palo Alto — July 2005

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01Graded K-multiplicitiesSiddhartha Sahi

02Parameters for Real GroupsJeffrey Adams (revised)

03Real Forms and Strong Real Forms: Quick Reference GuideJeffrey Adams

04Combinatorics for the representation theory of real reductive groupsFokko du Cloux

05Computing K-type multiplicities in standard representations (after Vogan)Peter Trapa (updated 8/22/05)

06Unitarity of non-spherical principal seriesAlessandra Pantano

07Petite and Relevant K-types for exceptional groups — Introduction (slides)Alessandra Pantano

08Petite and Relevant K-types — list of K-typesAlessandra Pantano

09Computing Discrete Series Multiplicities in the Connected Case (the Blattner formula)John Stembridge

10Signatures of Invariant Hermitian Forms on Highest Weight ModulesWai Ling Yee

AIM Workshop, Palo Alto — July 2004

01Parameters for Real GroupsJeffrey Adams (preliminary version)

02Background on the Spherical Unitary DualDan Barbasch

03Algorithms for Structure TheoryFokko du Cloux

04Weyl group representations and signatures of intertwining operatorsAlessandra Pantano

05Applying unitarity tests in the Weyl groupJohn Stembridge

06Non-Cellularity of Signatures?John Stembridge

07A Parametrization of K-TypesDavid Vogan (notes by Peter Trapa)

08Notes on the unitary dual of real split groupsDavid Vogan (notes by Alessandra Pantano)

09OverviewDavid Vogan (notes by Susana Salamanca)

AIM Workshop, Palo Alto — Summer 2003

01Unitary Dual for P-Adic Groups of Type F₄Dan Ciubotaru

02Lecture Notes for AIM/Atlas of Lie Groups WorkshopJohn Stembridge

03Computing Kazhdan-Lusztig polynomials for real Lie groupsFokko du Cloux

04Generic unitary spherical parametersJiu-Kang Yu

05Branching LawsDavid A. Vogan, Jr.

06The Step AlgebraSiddhartha Sahi