www.uhasselt.be
DSpace

Document Server@UHasselt >
Research >
Research publications >

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3217

Title: Invariants under tori of rings of differential operators and related topics
Authors: Musson, IM
VAN DEN BERGH, Michel
Issue Date: 1998
Publisher: AMER MATHEMATICAL SOC
Citation: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 136(650). p. 1-+
Abstract: If G is a reductive algebraic group acting rationally on a smooth affine variety X then it is generally believed that D(X)(G) has properties very similar to those of enveloping algebras of semisimple Lie algebras. In this paper we show that this is indeed the case when G is a torus and X = k(r) x (k*)(s). We give a precise description of the primitive ideals in D(X)(G) and we study in detail the ring theoretical and homological properties of the minimal primitive quotients of D(X)(G). The latter are of the form D(X)(G)/(g - chi(g)) where g = Lie(G), chi is an element of g* and g - chi(g) is the set of all upsilon - chi(upsilon) with upsilon is an element of g. They occur as rings of twisted differential operators on toric varieties. As a side result we prove that if G is a torus acting rationally on a smooth affine variety then D(X//G) is a simple ring.
Notes: Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA. Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Musson, IM, Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA.
URI: http://hdl.handle.net/1942/3217
ISI #: 000077069500001
ISSN: 0065-9266
Type: Journal Contribution
Validation: ecoom, 1999
Appears in Collections: Research publications

Files in This Item:

There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.