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Hecke Orders, Cellular Orders and Quasi-Hereditary Orders

  • Klaus W. Roggenkamp
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The example of the Hecke orders over the integral Laurent polynomials of the dihedral groups of “odd” order are used to explain the notions of Green orders,quasi-hereditary orders, cellular orders, Hecke-orders and deformations of blocks with cyclic defect. Green orders, which arise as blocks of cyclic defect of local groups rings and Hecke orders are characterized internally, and their “filtered Cohen-Macaulay modules are described. This gives a local description of the Cohen-Macaulay for the Hecke orders of the “odd” order dihedral groups.

Keywords

Group Ring Dihedral Group Projective Resolution Graph Order Integral Group Ring 
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 New York 2001

Authors and Affiliations

  • Klaus W. Roggenkamp
    • 1
  1. 1.Mathematisches Institut BUniversität StuttgartStuttgartGermany

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