Algebraic combinatorics

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Quickref

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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

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 Dendriform Algebras
• Free Pre-Lie Algebras
• Free Zinbiel Algebras