A contratableau model for K-theoretic Littlewood-Richardson rule

Fuente: arXiv
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Auteur principal: Kundu, Siddheswar
Format: Preprint
Publié: 2025
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author Kundu, Siddheswar
author_facet Kundu, Siddheswar
contents The K-theoretic Littlewood-Richardson rule, established by A. Buch, is a combinatorial method for counting the structure constants involved in the product of two Grothendieck polynomials of Grassmannian type. In this paper, we provide an explicit combinatorial formula in terms of set-valued contratableau for the K-theoretic Littlewood-Richardson rule generalizing contratableau model for the classical Littlewood-Richardson rule given by Carré.
format Preprint
id arxiv_https___arxiv_org_abs_2504_02290
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A contratableau model for K-theoretic Littlewood-Richardson rule
Kundu, Siddheswar
Combinatorics
The K-theoretic Littlewood-Richardson rule, established by A. Buch, is a combinatorial method for counting the structure constants involved in the product of two Grothendieck polynomials of Grassmannian type. In this paper, we provide an explicit combinatorial formula in terms of set-valued contratableau for the K-theoretic Littlewood-Richardson rule generalizing contratableau model for the classical Littlewood-Richardson rule given by Carré.
title A contratableau model for K-theoretic Littlewood-Richardson rule
topic Combinatorics
url https://arxiv.org/abs/2504.02290