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

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Nilsson, Jonathan

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
  • rtf