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

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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.

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Authors and Affiliations

  1. Department of Mathematics, San Francisco State University, 1600 Holloway Ave, San Francisco, CA, 94109, USA

    T. Bliem

  2. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931, Köoln, Germany

    S. Kousidis

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  1. T. Bliem
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  2. S. Kousidis
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Correspondence to T. Bliem.

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Bliem, T., Kousidis, S. Expected degree of weights in Demazure modules of \( {\hat{\mathfrak{sl}}_2} \) . Transformation Groups 16, 1009–1025 (2011). https://doi.org/10.1007/s00031-011-9129-6

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  • DOI: https://doi.org/10.1007/s00031-011-9129-6

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