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Symmetric Groups and Quasi-Hereditary Algebras

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Finite Dimensional Algebras and Related Topics

Part of the book series: NATO ASI Series ((ASIC,volume 424))

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Abstract

Quasi-hereditary algebras were introduced by L. Scott [S] in order to study highest weight categories arising in the representation theory of semisimple complex Lie algebras and algebraic groups, and important results were proved by Cline, Parshall and Scott (see [CPS1,2]). These algebras can be defined entirely in ring-theoretic terms; and they were studied from this point of view by Dlab and Ringel (see [DR1,2], [R1,2]) and by others. In particular it turns out that quasi-hereditary algebras are quite common.

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Author information

Authors and Affiliations

  1. Mathematical Institute, 24-29 St. Giles, OX1 3LB, Oxford, England

    Karin Erdmann

Authors
  1. Karin Erdmann
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, Carleton University, K1S 5B6, Ottawa, Ontario, Canada

    Vlastimil Dlab

  2. Department of Mathematics, University of Virginia, 22901, Charlottesville, Virginia, USA

    Leonard L. Scott

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© 1994 Springer Science+Business Media Dordrecht

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Erdmann, K. (1994). Symmetric Groups and Quasi-Hereditary Algebras. In: Dlab, V., Scott, L.L. (eds) Finite Dimensional Algebras and Related Topics. NATO ASI Series, vol 424. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1556-0_7

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  • DOI: https://doi.org/10.1007/978-94-017-1556-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4377-1

  • Online ISBN: 978-94-017-1556-0

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