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SYMMETRICA

Symmetrica is a collection of routines, written in the programming language C, through which the user can readily write his/her own programs. Routines which manipulate many types of mathematical objects are available. Their use is facilitated by Symmetrica’s object oriented style. Computer algebra system (CAS).

This software is also referenced in ORMS.

Keywords for this software

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  • symmetric groups
  • Schubert polynomials
  • isometry classes
  • symmetric functions
  • group rings
  • representation theory
  • primitive central idempotents
  • finite group actions
  • linear codes
  • random generation
  • Littlewood-Richardson coefficients
  • tableaux
  • computer algebra
  • Littlewood-Richardson rule
  • symmetrica
  • Coxeter element
  • indistinguishability in (n)-fold point sets
  • nonnesting partition
  • divided differences
  • dual projective mapping
  • double coset methods
  • cycle index polynomials
  • VNP
  • minimal left ideals
  • finite groups
  • domino tableaux
  • Catalan number
  • block codes
  • partitions
  • Symmetry properties

  • URL: www.algorithm.uni-bayr...
  • InternetArchive
  • Authors: SYMMETRICA team at Lehrstuhl Mathematik II of the University of Bayreuth
  • Language: C

  • Add information on this software.


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References in zbMATH (referenced in 26 articles , 2 standard articles )

Showing results 21 to 26 of 26.
y Sorted by year (citations)

previous 1 2

  1. Fripertinger, Harald; Kerber, Adalbert: Isometry classes of indecomposable linear codes (1995)
  2. Kerber, A.; Kohnert, A.: SYMMETRICA, an object oriented computer algebra system for representations, combinatorics and applications of symmetric groups (1995)
  3. Lascoux, Alain; Leclerc, Bernard; Thibon, Jean-Yves: Ribbon tableaux, Hall-Littlewood functions and unipotent varieties (1995)
  4. Lulek, T. (ed.); Florek, W. (ed.); Wałcerz, S. (ed.): Symmetry and structural properties of condensed matter. Proceedings of the 3rd international school on theoretical physics, Zajaczkowo, Poland, September 1--7, 1994 (1995)
  5. Barop, Christine: Nazarov’s construction of the ordinary irreducible projective matrix representations of the symmetric group, an application of SYMMETRICA (1994)
  6. Kerber, Adalbert; Kohnert, Axel; Lascoux, Alain: SYMMETRICA, an object oriented computer-algebra system for the symmetric group (1992)

previous 1 2

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    • Top MSC classes
      • 05 Combinatorics
      • 14 Algebraic geometry
      • 20 Group theory and...
      • 68 Computer science
      • 94 Information and...
    • Other MSC classes
      • 00 General mathematics
      • 06 Ordered structures
      • 13 Commutative algebra
      • 15 Linear and multilinear...
      • 16 Associative rings and...
      • 33 Special functions
      • 53 Differential geometry
      • 65 Numerical analysis
      • 81 Quantum Theory
      • 82 Statistical mechanics,...

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