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A Combinatorial Approach to the Double Cosets of the Symmetric Group with respect to Young Subgroups

✍ Scribed by Andrew R. Jones

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 247 KB
Volume: 17
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1996.0056

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✦ Synopsis

Combinatorial methods are employed to study the double cosets of the symmetric group S n with respect to Young subgroups H and K . The current paper develops a correspondence between these double cosets and certain lists of integers . This approach leads naturally to an algorithm for computing the number of ( H , K )-double cosets of S n .

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