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The Hook Graphs of the Symmetric Group

Published online by Cambridge University Press:  20 November 2018

J. S. Frame ,
G. de B. Robinson  and
R. M. Thrall
J. S. Frame
Affiliation:
Michigan State College
G. de B. Robinson
Affiliation:
University of Toronto
R. M. Thrall
Affiliation:
University of Michigan
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Each irreducible representation [λ] of the symmetric group Sn may be identified by a partition [λ] of n into non-negative integral parts λ1 ≥ λ2 ≥ … λn ≥ 0, of which the first λ'j parts are ≥j, or by a right (Young) diagram also called [λ], that contains λi nodes in its ith row and λ'j nodes in its jth column.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 316 - 324
Copyright
Copyright © Canadian Mathematical Society 1954

References

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