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arXiv · 0902.0152

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

Pierre-Emmanuel Chaput·Nicolas Perrin
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Abstract

We prove a general combinatorial formula yielding the intersection number $c_{u,v}^w$ 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 $w$.

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Pierre-Emmanuel Chaput, Nicolas Perrin. 2009-02-04. Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces. https://arxiv.org/abs/0902.0152

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