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Partition algebra

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The partition algebra is an associative algebra with a basis of set-partition diagrams and multiplication given by diagram concatenation.[1] Its subalgebras include diagram algebras such as the Brauer algebra, the Temperley-Lieb algebra, or the group algebra of the symmetric group.

References

  1. ^ Halverson, Tom; Ram, Arun (2004-01-23). "Partition Algebras". arXiv.org. doi:10.48550/arXiv.math/0401314. Retrieved 2022-06-22.