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Algebraic combinatorics¶


Quickref¶

Todo

write it!

Thematic tutorials¶

Todo

get Sphinx to create those cross links properly

  • Algebraic Combinatorics in Sage
  • Lie Methods and Related Combinatorics in Sage
  • Linear Programming (Mixed Integer)

Enumerated sets of combinatorial objects¶

  • Enumerated sets of partitions, tableaux, ...
  • GelfandTsetlinPattern, GelfandTsetlinPatterns
  • KnutsonTaoPuzzleSolver

Combinatorial Hopf Algebras¶

  • Symmetric Functions
  • Non-Commutative Symmetric Functions and Quasi-Symmetric Functions
  • Schubert Polynomials
  • Symmetric Functions in Non-Commuting Variables

Groups and Algebras¶

  • Catalog of algebras
  • Groups
  • SymmetricGroup, CoxeterGroup, WeylGroup
  • PartitionAlgebra
  • IwahoriHeckeAlgebra
  • SymmetricGroupAlgebra
  • NilCoxeterAlgebra
  • AffineNilTemperleyLiebTypeA
  • Descent Algebras
  • Diagram and Partition Algebras

Combinatorial Representation Theory¶

  • Root Systems
  • Crystals
  • Rigged Configurations
  • Cluster Algebras and Quivers
  • KazhdanLusztigPolynomial
  • SymmetricGroupRepresentation
  • Yang-Baxter Graphs
  • Hall Polynomials

Operads and their algebras¶

  • Free Pre-Lie Algebras

Table Of Contents

  • Algebraic combinatorics
    • Quickref
    • Thematic tutorials
    • Enumerated sets of combinatorial objects
    • Combinatorial Hopf Algebras
    • Groups and Algebras
    • Combinatorial Representation Theory
    • Operads and their algebras

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