A Non-commutative Version of Polynomial
Rings
Thomas Cassidy
Department of Mathematics
University of Oregon
and Algebra candidate for Position 3
The Artin-Schelter regular (AS regular) algebras are the non-commutative analog to the polynomial ring k[x1,...,xi] over a field k. Because AS regular algebras exhibit many of the same features as their commutative cousin, they are a good starting place for non-commutative algebraic geometry. The classification of the 3-dimensional AS regular algebras has been the inspiration for much interesting mathematics. This talk will focus on a few examples to illustrate how a large family of 4-dimensional AS regular algebras has now been classified.
Friday, 26 March 1999
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)
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