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math.COAug 19, 1999
41
citations (OpenAlex)
authors
  • Marc A. A. van Leeuwen
institutions
  • Université de Poitiers
arXiv abstractPDF
paper

The Littlewood-Richardson rule, and related combinatorics

arXiv:math/9908099

Abstract

An introduction is given to the Littlewood-Richardson rule, and various combinatorial constructions related to it. We present a proof based on tableau switching, dual equivalence, and coplactic operations. We conclude with a section relating these fairly modern techniques to earlier work on the Littlewood-Richardson rule.

29 pages

Cited by in corpus (13)

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  • On Young tableau involutions and patterns in permutations
  • Iterative properties of birational rowmotion
  • Heisenberg Honeycombs Solve Veneziano Puzzle
  • Boolean Witt vectors and an integral Edrei-Thoma theorem
  • Schensted-type correspondence, plactic monoid and jeu de taquin for type C
  • Super jeu de taquin and combinatorics of super tableaux of type A
  • Raising operators and the Littlewood-Richardson polynomials
  • On the structures of hive algebras and tensor product algebras for general linear groups of low rank
  • An orthosymplectic Pieri rule
  • Representations in Strange Duality: Hilbert Schemes paired with higher rank spaces
  • Schur functions and alternating sums
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