Metroplex Algebraic Geometry, Algebra and Number
Theory (AGANT) Seminar, a joint venture of
UNT, UTA
and TCU
Date/Time/Room: Friday (4/29/2011) at 4:30 pm
in 304 Pickard Hall
Speaker: Manizheh
Nafari, Department of
Mathematics, UTA.
"Examples of Regular
Graded Skew Clifford Algebras of Global
Dimension 3"
Abstract: M. Artin, W. Schelter, J. Tate, and
M. Van den Bergh introduced the
notion of noncommutative regular
algebras, and classified regular
algebras of global
dimension 3 on degreeone generators by using
geometry
(i.e., point schemes) in the late 1980's. Recently,
T. Cassidy
and M. Vancliff generalized the notion of a graded
Clifford
algebra and called it a graded skew Clifford algebra.
In this
talk, the focus will be to show that all classes of
quadratic
regular algebras of global dimension 3 are graded
skew
Clifford algebras or twists of Ore extensions of graded
skew
Clifford algebras.
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 3 pm position in that 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 304 is on the 3rd floor of PKH; turn right
out of elevator on 3rd floor.
