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Journal of Soviet Mathematics

, Volume 41, Issue 2, pp 979–991 | Cite as

Generalized Robinson-Schensted-Knuth correspondence

  • S. V. Fomin
Article

Abstract

The Robinson-Schensted-Knuth correspondence RSK associates with any permutation a pair of paths in a Young graph. The duality theorem for finite partially ordered sets associates with each such set a Young diagram. An independent account is given of the theory of these correspondences, in which the first of them arises on the basis of the second as a concrete version of the construction of “two-dimensional growth,” generalizing RSK to a large class of graded graphs.

Keywords

Large Class Young Diagram Duality Theorem Independent Account Concrete Version 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • S. V. Fomin

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