A proof of K-theoretic littlewood-richardson rules by bender-knuth-type involutions

Takehi Ikeda; Tatsushi Shimazaki

doi:10.4310/MRL.2014.v21.n2.a10

A proof of K-theoretic littlewood-richardson rules by bender-knuth-type involutions

Takehi Ikeda, Tatsushi Shimazaki

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

The K-theoretic Littlewood-Richardson rule due to A. Buch describes the product structure constants for the Grothendieck polynomials of Grassmannian type.We present a simple self-contained proof of the rule by generalizing Stembridge's cancelation argument which was applied for the classical Littlewood-Richardson rule.

Original language	English
Pages (from-to)	333-339
Number of pages	7
Journal	Mathematical Research Letters
Volume	21
Issue number	2
DOIs	https://doi.org/10.4310/MRL.2014.v21.n2.a10
Publication status	Published - 2014
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.4310/MRL.2014.v21.n2.a10

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abstract = "The K-theoretic Littlewood-Richardson rule due to A. Buch describes the product structure constants for the Grothendieck polynomials of Grassmannian type.We present a simple self-contained proof of the rule by generalizing Stembridge's cancelation argument which was applied for the classical Littlewood-Richardson rule.",

author = "Takehi Ikeda and Tatsushi Shimazaki",

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JO - Mathematical Research Letters

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A proof of K-theoretic littlewood-richardson rules by bender-knuth-type involutions

Abstract

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