Title
Extensions of certain modules over the 1st weyl algebra Extensions of certain modules over the 1st weyl algebra
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Beijing ,
Subject
Mathematics
Source (journal)
Science in China : series A : mathematics, physics, astronomy and technological sciences. - Beijing, 1989 - 1995
Volume/pages
37(1994) :5 , p. 535-546
ISSN
1001-6511
ISI
A1994NQ16600003
Carrier
E
Target language
English (eng)
Abstract
Using a method stemming from the representation theory of finite-dimensional algebra's, results about a category of Artinian modules over the first Weyl algebra consisting of objects having composition series with composition factors isomorphic to prescribed ones have been obtained. This category corresponds to a tube of Z/2Z type and it is serial and standard. The Auslander-Reiten formula in this category describing the functor Ext(A) (-, -) in terms of the AR-quiver has been derived. The dimensions of Ext(A)(M, N) for M and N in different tubes are calculated.
E-info
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994NQ16600003&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994NQ16600003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848