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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Graphs and Combinato...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Graphs and Combinatorics
Article . 1985 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1985
Data sources: zbMATH Open
DBLP
Article . 1985
Data sources: DBLP
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Shuffles of permutations and the Kronecker product

Authors: Adriano M. Garsia; Jeffrey B. Remmel;

Shuffles of permutations and the Kronecker product

Abstract

In this paper the authors have obtained a general result relating to shuffles of permutation and Kronecker products which leads to combinatorial interpretation of the Kronecker coefficient \(C_{i,j,k}=\) where \(S_ i\) are the Schur functions. Most of the paper is devoted to the earlier work in this field with new proofs and interesting interpretations. It is remarkable that every result is supplemented by simple and elegant numerical examples. The research workers will find it of greater help in their studies.

Keywords

Kronecker products, shuffles of permutation, Kronecker coefficient, Factorials, binomial coefficients, combinatorial functions, Schur functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
58
Top 10%
Top 1%
Top 10%
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