• Deutsch
    • English
  • English 
    • Deutsch
    • English
  • Login
Item View 
  •   Home
  • Naturwissenschaften, Mathematik und Informatik
  • Fakultät für Mathematik und Informatik (inkl. GAUSS)
  • Item View
  •   Home
  • Naturwissenschaften, Mathematik und Informatik
  • Fakultät für Mathematik und Informatik (inkl. GAUSS)
  • Item View
JavaScript is disabled for your browser. Some features of this site may not work without it.

On projective resolutions of simple modules over the Borel subalgebra S^+(n, r) of the Schur algebra S(n, r) for n ≤3

Ueber projektive Aufloesungen von einfachen Modulen ueber die Borel Unteralgebra S^+(n,r) von der Schuralgebra S(n,r) fuer n ≤3

by Ivan Yudin
Doctoral thesis
Date of Examination:2007-03-16
Date of issue:2008-03-05
Advisor:Prof. Dr. Ulrich Stuhler
Referee:Prof. Dr. Yuri Tschinkel
crossref-logoPersistent Address: http://dx.doi.org/10.53846/goediss-3409

 

 

Files in this item

Name:yudin.pdf
Size:463.Kb
Format:PDF
Description:Dissertation
ViewOpen

The following license files are associated with this item:


Abstract

English

We construct projective resolutions for simple modules over the Borel subalgebras S^+(2,r) and S^+(3,r) of the Schur algebras S(2,r) and S(3,r) over a field of positive characteristic. In the case S^+(2,r) we get a minimal projective resolution. We also find projective resolutions of minimal possible length for Weyl modules over the Schur algebra S(2,r), corresponding to the regular weights.
Keywords: Schur algebra; Borel subalgebra; Weyl module; Projective dimension; Global dimension

Other Languages

Wir konstruiren projektive Aufloesungen von einfachen Modulen ueber die Borel Unteralgebren S^+(2,r) und S^+(3,r) ueber einen Koerper von positiver Charakteristik. Im Fall von S^+(2,r) bekommen wir die minimalen projektiven Aufloesungen. Wir konstruieren auch projektive Aufloesungen von der minimalen moeglichen Laenge fuer den den regulaeren Gewichten entsprechenden Weyl Modulen ueber die Schuralgebra S(2,r).
Schlagwörter: Schuralgebra; Borel Unteralgebra; Weyl Modul; Projektive Dimension; Globale Dimension
 

Statistik

Publish here

Browse

All of eDissFaculties & ProgramsIssue DateAuthorAdvisor & RefereeAdvisorRefereeTitlesTypeThis FacultyIssue DateAuthorAdvisor & RefereeAdvisorRefereeTitlesType

Help & Info

Publishing on eDissPDF GuideTerms of ContractFAQ

Contact Us | Impressum | Cookie Consents | Data Protection Information
eDiss Office - SUB Göttingen (Central Library)
Platz der Göttinger Sieben 1
Mo - Fr 10:00 – 12:00 h


Tel.: +49 (0)551 39-27809 (general inquiries)
Tel.: +49 (0)551 39-28655 (open access/parallel publications)
ediss_AT_sub.uni-goettingen.de
[Please replace "_AT_" with the "@" sign when using our email adresses.]
Göttingen State and University Library | Göttingen University
Medicine Library (Doctoral candidates of medicine only)
Robert-Koch-Str. 40
Mon – Fri 8:00 – 24:00 h
Sat - Sun 8:00 – 22:00 h
Holidays 10:00 – 20:00 h
Tel.: +49 551 39-8395 (general inquiries)
Tel.: +49 (0)551 39-28655 (open access/parallel publications)
bbmed_AT_sub.uni-goettingen.de
[Please replace "_AT_" with the "@" sign when using our email adresses.]