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A labeling scheme for young tableaux spanning representations of permutation group S ( N )
Author(s) -
Sarma C. R.,
Nampoothiri A. V. V.
Publication year - 2000
Publication title -
journal of computational chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.907
H-Index - 188
eISSN - 1096-987X
pISSN - 0192-8651
DOI - 10.1002/(sici)1096-987x(200002)21:3<185::aid-jcc2>3.0.co;2-p
Subject(s) - permutation (music) , young tableau , scheme (mathematics) , combinatorics , permutation group , class (philosophy) , symmetric group , diagram , mathematics , column (typography) , computer science , artificial intelligence , physics , statistics , connection (principal bundle) , mathematical analysis , geometry , acoustics
A structure‐dependent labeling scheme for the Standard Young Tableaux spanning the representations of the permutation group is outlined in the present work. This scheme is used to generate the representations of a select class of permutations such as dense cycles and general transpositions of the group using minimal storage requirements. Two distinct approaches are outlined for generating the tableaux in the present labeling scheme. Detailed application has been made to two‐column Young diagram representations that are extremely useful in electron correlation studies in molecules. © 2000 John Wiley & Sons, Inc. J Comput Chem 21: 185–190, 2000