(Algebraic Geometry, Algebra and Number Theory Seminar)

a joint venture of   UNT, UTA and TCU

Date/Time/Room: Thursday May 1, 2003, at 4:00 pm in PKH 487 at UTA
                          Refreshments will be served at 3:45 pm.
Speaker: Dimitar Grantcharov Department of Mathematics, UC Riverside

``On the Classification of the Weight Modules of Lie Superalgebras''

Abstract: In the early 20th century Hermann Weyl classified all finite-dimensional representations of the classical Lie algebras in terms of the so-called character formula. The problem of generalizing Weyl's character formula to infinite-dimensional representations turned out to be more difficult. Recently, Olivier Mathieu obtained an explicit classification of the class of infinite-dimensional weight representations using the method of coherent families. In the present talk, I will briefly sketch Mathieu's idea of coherent families and some of its numerous applications.

  If you are travelling from out of town, then a map of UTA may be found at Note that PKH is the triangular building in the south-central region of the map next to the ``garage'' & is on Nedderman Drive between College St & West St. Parking is available in the nearby (just south of PKH) parking lots with a UTA permit. Visitor (free), & metered, parking is available by Davis Hall (marked DH in South West part of map). A parking garage (expensive) is nextdoor to Pickard Hall (use West St to get to it). Note that if heading south on Cooper, then no left turn is allowed to Nedderman Drive. Recommended route from UNT: eventually head south on Hwy 360 (or Industrial Blvd = Collins) West on Abram, south on Pecan, West on Nedderman. Then use map. From TCU: east on I30, exit Cooper, South on Cooper (but there is currently construction on Cooper and so the possibility of heavy delays, so you might prefer to use Fielder, heading South to W Mitchell, East on W Mitchell to Cooper), then use map. From anywhere else: good luck! Note that PKH 487 is on the 4th floor of PKH; turn right out of elevator on 4th floor.