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Transformation Groups

, Volume 16, Issue 4, pp 1009–1025 | Cite as

Expected degree of weights in Demazure modules of \( {\hat{\mathfrak{sl}}_2} \)

  • T. BliemEmail author
  • S. Kousidis
Article

Abstract

We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module V w (Λ) of \( {\hat{\mathfrak{sl}}_2} \). We obtain en passant a new proof of Sanderson's dimension formula for these Demazure modules.

Keywords

Degree Distribution Dynkin Diagram Character Formula Real Character Limit Ratio 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsSan Francisco State UniversitySan FranciscoUSA
  2. 2.Mathematisches InstitutUniversität zu KölnKöolnGermany

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