Welcome to the Home Page of

ANNEGRET PAUL

Address:
Department of Mathematics
Western Michigan University
Kalamazoo, MI 49008-5248

Office: 6619 Everett Tower
Phone: (269) 387-3614 FAX: (269) 387-4530

email: annegret.paul...wmich.edu

(See also my profile at the Community of Science.)

RESEARCH:
My area of research is the representation theory of reductive Lie groups. In particular, I am interested in the unitary dual of reductive groups, and the theta correspondence. I am also involved in the Atlas of Lie Groups project.

Read the details about the computation of the Kazhdan-Lusztig polynomials for split E₈

Some Atlas Related Notes:
(This material is based upon work supported by the National Science Foundation under Grant No. 0554278.)

The Dictionary (Preliminary Notes) (pdf file)

Representations with Non-Integral Infinitesimal Character (pdf file)

On the Omega-Regular Unitary Representations of Mp(2n) (pdf file)

How to Attach a Representation to a pair (x,y) (pdf file)

Assigning Representation Parameters to Atlas Block Output (pdf file)

Publications:

``Howe correspondence for real unitary groups'', J. Funct. Anal. 159 (1998), 384-431.
with Eng Chye Tan, ``On the dual pairs (O(p,q),SL(2,R)), (U(p,q),U(1,1)), and (Sp(p,q),O*(4))'', Pac. J. Math. 187 no. 2 (1999), 349-378.
``First occurrence for the dual pairs (U(p,q),U(r,s))'', Canad. J. Math. 51 no. 3 (1999), 636-657.
``Howe correspondence for unitary groups II'', Proc. Am. Math. Soc.128 no. 10 (2000), 3129-3136.
with Jian-shu Li, Eng Chye Tan, and Chenbo Zhu, ``The Explicit Duality Correspondence of (Sp(p,q),O*(2n))'' , J. Funct. Anal. 200 no. 1(2003),71-100. (postscript file)
with Peter Trapa, ``One-dimensional representations of U(p,q) and the Howe correspondence'' , J. Funct. Anal. 195 no. 1(2002), 129-166. (postscript file)
``On the Howe Correspondence for Symplectic-Orthogonal Dual Pairs'', J. Funct. Anal. 228 (2005), 270-310. (pdf file)
with Peter Trapa, ``Some small unipotent representations of indefinite orthogonal groups and the theta correspondence'', University of Aarhus Publication Series, 48 (2007), 103-125. (pdf file)
with Jeffrey Adams, Dan Barbasch, Peter Trapa, and David Vogan, ``Unitary Shimura correspondences for split real groups'', J. Amer. Math. Soc. 20 (2007), 701 - 751. (pdf file)
with Alessandra Pantano and Susana Salamanca-Riba, “The Omega-Regular Unitary Dual of the Metaplectic Group of Rank 2”, AMS Contemporary Mathematics, to appear. (pdf file)