Metroplex Algebraic Geometry, Algebra and Number Theory (AGANT) Seminar,
a joint venture of
UNT,
UTA and
TCU
Date/Time/Room: Wednesday (11/25/2009) at noon in 487 Pickard Hall
Speaker:
Dr. Milen Yakimov, Associate Professor,
Department of Mathematics,
Louisiana State University.
"Spectra of Quantum Nilpotent Algebras"
Abstract: De Concini, Kac and Procesi defined a family of subalgebras
U_{q}^{w}(g) of a quantized universal enveloping algebra
U_{q}(g), associated to the elements of the corresponding Weyl group
W. They are deformations of the universal enveloping algebras U(n_{+} ∩ Ad_{w}(n_{})), where
n_{+} & n_{} are the nilradicals of a pair of dual Borel subalgebras. Many interesting algebras are special cases of this construction; e.g., the algebras of quantum matrices, and more generally the BerensteinZwicknagl flat braided
symmetric algebras. We will describe an explicit construction of the Hinvariant prime ideals of each
U_{q}^{w}(g), construct an efficient generating set of each
Hprime and describe the corresponding poset of Hprimes.
A map of UTA may be found at
http://www.uta.edu/maps/, and directions to UTA are on that website.
Note that PKH is the triangular building in the centralcampus region of the map. Select Pickard Hall from the building selector. PKH is next to the ``garage'' & is on Nedderman Dr between Planatarium Place (aka College St) & West St. West St is oneway northbound
between W Mitchell St and 3rd St. Parking is available in the nearby (East and SE of PKH) parking lots with a UTA permit (but many people park there late on Fridays with no permit). There are a few metered parking spots on the East side of Pickard Hall on
West St. Visitor (free), & metered, parking is available by Davis Hall (marked DH in SW part of the submap). A parking garage (expensive) is nextdoor to PKH (use West St to get to it). Note that if heading south on Cooper, then no left turn is allowed to Nedderman
Dr.
Note that PKH 487 is on the 4th floor of PKH; turn right out of elevator on 4th floor.
