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arXiv (Cornell University)· 2014· Preprint

Hopf Algebras in Combinatorics

Darij Grinberg, Victor Reiner

Short summary

This survey introduces key Hopf algebras in combinatorics, including symmetric functions, quasisymmetric functions, and graph/poset/matroid algebras, highlighting results like the Littlewood-Richardson rule and Zelevinsky's structure theorem.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics