单词 | Young Tableau |
释义 | Young TableauThe Young Tableau of a Young Diagram is obtained by placing the numbers 1, ..., ![]() with ![]() ![]() There is a correspondence between a Permutation and a pair of Young tableaux, known as the SchenstedCorrespondence. The number of all standard Young tableaux with a given shape (corresponding to a given YoungDiagram) is calculated with the Hook Length Formula. The Bumping Algorithm is used to construct a standardYoung tableau from a permutation of
Fulton, W. Young Tableaux with Applications to Representation Theory and Geometry. New York: Cambridge University Press, 1996. Ruskey, F. ``Information on Permutations.'' http://sue.csc.uvic.ca/~cos/inf/perm/PermInfo.html#Tableau. Skiena, S. S. The Algorithm Design Manual. New York: Springer-Verlag, pp. 254-255, 1997. Sloane, N. J. A. SequenceA000085/M1221in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. |
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