# AGANT SEMINAR

### (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
http://www.uta.edu/maps/. 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.