uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Simple sl_{n+1}-module structures on U(h)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2014 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

We study the category M consisting of U(sl_{n+1})-modules whose restriction to U(h) is free of rank 1, in particular we classify isomorphism classes of objects in M and determine their submodule structure. This leads to new sl_{n+1}-modules. For n=1 we also find the central characters and derive an explicit formula for taking tensor product with a simple finite dimensional module.

Place, publisher, year, edition, pages
Uppsala universitet , 2014. , 29 p.
U.U.D.M. report / Uppsala University, Department of Mathematics, ISSN 1101-3591 ; 2014:2
National Category
Algebra and Logic
URN: urn:nbn:se:uu:diva-216480OAI: oai:DiVA.org:uu-216480DiVA: diva2:689977
Available from: 2014-02-06 Created: 2014-01-22 Last updated: 2014-02-06Bibliographically approved

Open Access in DiVA

fulltext(385 kB)215 downloads
File information
File name FULLTEXT01.pdfFile size 385 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Nilsson, Jonathan
By organisation
Algebra and Geometry
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar
Total: 215 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 533 hits
ReferencesLink to record
Permanent link

Direct link