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A Schensted Algorithm Which Models Tensor Representations of the Orthogonal Group

Published online by Cambridge University Press:  20 November 2018

Robert A. Proctor
Robert A. Proctor*
Affiliation:
University of North Carolina, Chapel Hill, North Carolina
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This paper is concerned with a combinatorial construction which mysteriously “mimics” or “models” the decomposition of certain reducible representations of orthogonal groups. Although no knowledge of representation theory is needed to understand the body of this paper, a little familiarity is necessary to understand the representation theoretic motivation given in the introduction. Details of the proofs will most easily be understood by people who have had some exposure to Schensted's algorithm or jeu de tacquin.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 1 , 01 February 1990 , pp. 28 - 49
Copyright
Copyright © Canadian Mathematical Society 1990

References

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