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Abstract:

We prove that certain subcategories of , consisting of complete modules having a quasi-Verma flag with respect to a Levi subalgebra, admit a combinatorial description similar to Soergel's results on category . Using the Enright completion functor we also reprove Soergel's character formula for tilting modules in and Ringel self-duality for the principal block of .

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Authors and Affiliations

  1. Universidade de Sao Paulo, Instituto de Matematica e Estatistica, Caixa Postal 66281 – CEP 05315-970, Sao Paulo, Brazil. e-mail: futorny@ime.usp.br, , , , , , BR

    Vyacheslav Futorny

  2. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany. e-mail: koenig@mathematik.uni-bielefeld.de.¶Present address: Department of Mathematics and Computer Science, University of Leicester, University Road, Leicester LE1 7RH, UK, , , , , , DE

    Steffen König

  3. Algebra, Mechanics and Mathematics Department, Kyiv Taras Shevchenko University, 64 Volodymyrska st., 01033 Kyiv, Ukraine. e-mail: mazor@mechmat.univ.kiev.ua, , , , , , UA

    Volodymyr Mazorchuk

Authors
  1. Vyacheslav Futorny
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  2. Steffen König
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  3. Volodymyr Mazorchuk
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Received: 17 January 2000/ Revised version: 5 May 2000

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Futorny, V., König, S. & Mazorchuk, V. -subcategories in . manuscripta math. 102, 487–503 (2000). https://doi.org/10.1007/s002290070038

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  • DOI: https://doi.org/10.1007/s002290070038

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