PURE MATHEMATICS SEMINAR ON TUESDAY THE 7TH OF JUNE 2005
Published on the 31 May 2005
Down-Up algebras are maximal orders at roots of unity
- Speaker: Prof Rajesh Kulkarni (Michigan State University)
- Date: Tuesday, 7 June 2005
- Time: 2:00 pm
- Venue: RC-4082, The Red Centre, UNSW
Maximal orders occur naturally in algebra and number theory. Recently there has been great interest in them owing to their connection with noncommutative algebraic geometry. The down-
up algebras (introduced by Benkart and Roby) are certain deformations of the enveloping algebra of sl_2. They encode the algebra of natural operators acting on graphs. We have shown that this algebra is a maximal order when the parameters are roots of unity. We will discuss all the notions before introducing the our result.
Enquiries to Catherine Greenhill, 9385 7105, csg@unsw.edu.au