Down-up Algebras


Georgia Benkart

(University of Wisconsin)

Northeastern University

509 Lake Hall

4:30 p.m., Thursday, March 4, 1999

Tea at 4:00 p.m. in 544 Nightingale Hall

Abstract:  Down-up algebras originated in the study of the down and up operators on partially ordered sets. These algebras exhibit many remarkable features and many interesting connections with enveloping algebras of Lie algebras, Weyl algebras, quantum groups, Heisenberg algebras, and Witten's deformations of the enveloping algebra of sl(2). This talk will focus on their combinatorial origins, representations, and structure. 

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.
There is free parking available for people coming to the colloquium at Northeastern's visitor parking. The entrance is from Columbus Avenue, right next to the parking garage.


Home Web page:  Alexandru I. Suciu  Created: Feb. 24, 1999    Updated: Feb. 24, 1999
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