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Representation type of Schur algebras

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Abstract.

We give a complete classification of the classical Schur algebras and the infinitesimal Schur algebras which have tame representation type. In combination with earlier work of some of the authors on semisimplicity and finiteness, this completes the classification of representation type of all classical and infinitesimal Schur algebras in all characteristics.

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Authors and Affiliations

  1. Mathematical Sciences, Loyola University Chicago, Chicago, IL 60626, USA (e-mail: doty@math.luc.edu) , , , , , , US

    Stephen R. Doty

  2. Mathematical Institute, Oxford University, 24-29 St. Giles, Oxford, OX1 3LB, UK (e-mail: erdmann@vax.ox.ac.uk) , , , , , , GB

    Karin Erdmann

  3. Magdalene College, Cambridge University, Cambridge, CB3 0AG, UK (e-mail: s.martin@pmms.cam.ac.uk) , , , , , , GB

    Stuart Martin

  4. Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA (e-mail: nakano@sunfs.math.usu.edu) , , , , , , US

    Daniel K. Nakano

Authors
  1. Stephen R. Doty
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  2. Karin Erdmann
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  3. Stuart Martin
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  4. Daniel K. Nakano
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Additional information

Received October 17, 1997; in final form March 5, 1998

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Doty, S., Erdmann, K., Martin, S. et al. Representation type of Schur algebras. Math Z 232, 137–182 (1999). https://doi.org/10.1007/PL00004755

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  • DOI: https://doi.org/10.1007/PL00004755

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