A note on Jeu de Taquin

Rocco Chirivì

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1999)

  • Volume: 10, Issue: 4, page 219-228
  • ISSN: 1120-6330

Abstract

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A direct formula for jeu de taquin applied to the swap of two rows of standard tableaux is given. A generalization of this formula to non standard tableaux is used to describe combinatorially a path basis isomorphism for the algebra of type A l .

How to cite

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Chirivì, Rocco. "A note on Jeu de Taquin." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 10.4 (1999): 219-228. <http://eudml.org/doc/252449>.

@article{Chirivì1999,
abstract = {A direct formula for jeu de taquin applied to the swap of two rows of standard tableaux is given. A generalization of this formula to non standard tableaux is used to describe combinatorially a path basis isomorphism for the algebra of type \( A\_\{l\} \).},
author = {Chirivì, Rocco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Jeu de taquin; Skew tableaux; LS paths; Root operators; skew tableaux; root operators},
language = {eng},
month = {12},
number = {4},
pages = {219-228},
publisher = {Accademia Nazionale dei Lincei},
title = {A note on Jeu de Taquin},
url = {http://eudml.org/doc/252449},
volume = {10},
year = {1999},
}

TY - JOUR
AU - Chirivì, Rocco
TI - A note on Jeu de Taquin
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1999/12//
PB - Accademia Nazionale dei Lincei
VL - 10
IS - 4
SP - 219
EP - 228
AB - A direct formula for jeu de taquin applied to the swap of two rows of standard tableaux is given. A generalization of this formula to non standard tableaux is used to describe combinatorially a path basis isomorphism for the algebra of type \( A_{l} \).
LA - eng
KW - Jeu de taquin; Skew tableaux; LS paths; Root operators; skew tableaux; root operators
UR - http://eudml.org/doc/252449
ER -

References

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  1. Bourbaki, N., Elément de mathématiques. Cap. 4, 5 et 6. Masson, Paris1981. Zbl0129.24701
  2. Lascoux, A. - Schützenberger, M. P., Le monoide plaxique. Quaderni della Ricerca Scientifica, 109, 1981, 129-156. Zbl0517.20036MR646486
  3. Littelmann, P., Paths and root operators in representation theory. Ann. Math., 142, 1995, 499-525. Zbl0858.17023MR1356780DOI10.2307/2118553
  4. Littelmann, P., A plactic algebra for semisimple Lie algebra. Adv. Math., 124, 1996, 312-331. Zbl0892.17009MR1424313DOI10.1006/aima.1996.0085
  5. Thomas, G. P., On a construction of Schützenberger. Discrete Math., 17, 1997, 107-118. Zbl0354.05011MR450084

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