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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2016 Volume 22, Issue 1, Pages 21–47 (Mi adm573)

This article is cited in 1 paper

RESEARCH ARTICLE

The Littlewood-Richardson rule and Gelfand-Tsetlin patterns

Patrick Doolana, Sangjib Kimb

a School of Mathematics and Physics, The University of Queensland, St Lucia, QLD 4072, Australia
b Department of Mathematics, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul, 02841, South Korea

Abstract: We give a survey on the Littlewood-Richardson rule. Using Gelfand-Tsetlin patterns as the main machinery of our analysis, we study the interrelationship of various combinatorial descriptions of the Littlewood-Richardson rule.

Keywords: Littlewood-Richardson rule, Gelfand-Tsetlin patterns.

MSC: 05E10, 20G05, 52B20

Received: 22.09.2015
Revised: 04.10.2015

Language: English



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