Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces

Pierre Emmanuel Chaput; Nicolas Perrin

Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces

Pierre Emmanuel Chaput
, Nicolas Perrin

Laboratoire de Mathématiques Jean Leray
Max Planck Institut für Mathematik
University Bonn
Université Paris Cité

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove a general combinatorial formula yielding the intersection number c ^w _u,v of three particular Λ-minuscule Schubert classes in any Kac-Moody homogeneous space, generalising the Littlewood-Richardson rule. The combinatorics are based on jeu de taquin rectification in a poset defined by the heap of w.

langue originale	Anglais
Pages (de - à)	17-80
Nombre de pages	64
journal	Journal of Lie Theory
Volume	22
Numéro de publication	1
état	Publié - 6 févr. 2012
Modification externe	Oui

Contient cette citation

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title = "Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces",

abstract = "We prove a general combinatorial formula yielding the intersection number c w u,v of three particular Λ-minuscule Schubert classes in any Kac-Moody homogeneous space, generalising the Littlewood-Richardson rule. The combinatorics are based on jeu de taquin rectification in a poset defined by the heap of w.",

keywords = "Jeu de taquin., Kac-Moody homogeneous spaces, Littlewood-Richardson rule, Schubert calculus",

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year = "2012",

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AU - Perrin, Nicolas

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N2 - We prove a general combinatorial formula yielding the intersection number c w u,v of three particular Λ-minuscule Schubert classes in any Kac-Moody homogeneous space, generalising the Littlewood-Richardson rule. The combinatorics are based on jeu de taquin rectification in a poset defined by the heap of w.

AB - We prove a general combinatorial formula yielding the intersection number c w u,v of three particular Λ-minuscule Schubert classes in any Kac-Moody homogeneous space, generalising the Littlewood-Richardson rule. The combinatorics are based on jeu de taquin rectification in a poset defined by the heap of w.

KW - Jeu de taquin.

KW - Kac-Moody homogeneous spaces

KW - Littlewood-Richardson rule

KW - Schubert calculus

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SN - 0949-5932

VL - 22

SP - 17

EP - 80

JO - Journal of Lie Theory

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Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces

Résumé

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