A Littlewood-Richardson rule for Grassmannian Schubert varieties
Sami H. Assaf
TL;DR
This paper introduces a combinatorial model to compute Schubert structure constants for the complete flag manifold, specifically when one factor is Grassmannian, advancing understanding of Schubert calculus.
Contribution
It provides a new combinatorial rule for calculating Littlewood-Richardson coefficients in the context of Grassmannian Schubert varieties.
Findings
A novel combinatorial model for Schubert structure constants.
Simplifies calculations for Grassmannian cases.
Enhances understanding of Schubert calculus in flag manifolds.
Abstract
We propose a combinatorial model for the Schubert structure constants of the complete flag manifold when one of the factors is Grassmannian.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Advanced Algebra and Geometry