Paper Info
Title
On the equality of two plane partition correspondences
Abstract
The study of column-strict plane partitions and Young tableax has spawned numerous constructive correspondences. Among these are correspondences found in the work of Bender and Knuth that send one column-strict plane partition to another, causing a specified permutation on the numbers of parts of a given size. Another correspondence, created by Schutzenberger to act on standard Young tableaux and defined in an entirely different manner. has intimate connections with the Robinson-Schensted algorithm. In this paper, these correspondences are generalized to skew column-strict plane partitions and certain of their basic properties are considered. In particular, it is shown that the correspondence of Schutzenberger can be considered a special case of the Bender-Knuth correspondences.
Year
DOI
Venue
1980
10.1016/0012-365X(80)90114-4
Discrete Mathematics
Keywords
Field
DocType
plane partition
Discrete mathematics,Combinatorics,Constructive,Permutation,Skew,Young tableau,Mathematics,Plane partition,Special case
Journal
Volume
Issue
ISSN
30
2
Discrete Mathematics
Citations 
PageRank 
References 
3
0.80
3
Authors
1
Name
Order
Citations
PageRank
Emden R. Gansner11117115.32