Logo

Mathematical Sciences Research Institute

Home » Orders in the elliptic Weyl algebra

Seminar

Orders in the elliptic Weyl algebra May 07, 2013 (02:00PM PDT - 03:00PM PDT)
Parent Program: Noncommutative Algebraic Geometry and Representation Theory
Location: MSRI: Baker Board Room
Speaker(s) Susan Sierra (University of Edinburgh)
Description No Description

Video
No Video Uploaded
Abstract/Media

An "elliptic Weyl algebra" is obtained by localising a (generic) Sklyanin algebra at the central element g.  It is a hereditary domain of GK-dimension 2 that has the surprising and beautiful property that all of its subalgebras are finitely generated and noetherian.  We present the classification of maximal orders in elliptic Weyl algebras and give some consequences, focusing on the ideal structure.  We show that any order in an elliptic Weyl algebra has DCC on ideals, and deduce that any graded order in (the 3rd Veronese of) a Sklyanin algebra must be noetherian.  This is joint work with Dan Rogalski and Toby Stafford.

No Notes/Supplements Uploaded No Video Files Uploaded