Algorithms for the character theory of the symmetric group

  • Ömer Eğecioğlu
Computational Group Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 204)


Description of a comprehensive package of routines for the character theory of the symmetric groups Sn have been presented. The efficiency of these algorithms derives from the reduction of the expansions of plethysms and Kronecker products to multiplication of Schur functions. This in turn is done with minimal computational effort by making use of an algorithmic modification of the LR rule due to Remmel and Whitney.

Existing implementations of a number of these algorithms turned out to be very efficient. The calculation of totally symmetric and antisymmetric plethysms for instance, could be carried out further than the existing tables in the literature.

The package is centered around a core which coordinates the various primitives and sequentially invokes the necessary routines to carry out the required calculations. The common features of the various algorithms implemented make it possible to construct this package in a highly modular and compact form in a UNIX environment.


Irreducible Representation Symmetric Group Symmetric Function Kronecker Product Irreducible Character 
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-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Ömer Eğecioğlu
    • 1
  1. 1.Department of Computer ScienceUniversity of CaliforniaSanta Barbara

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