Abstract
Semi-Standard Young Tableaux includes many applications in combinatorics, group representations, invariant theory, symmetric functions, and the theory of algorithms. Out of the many combinatorial objects Semi-Standard Young Tableau (SSYT) is the one on k-symbols. This paper aims to present how to find hook lengths, formulae for evaluation of total number of standard and semi standard young tableaux.The Semi-Standard Young Tableaux are used to label the basis vectors of the standard or Young Yamanouchi basis of the symmetric group sn. This papergives a new graphical method to find ranking and unranking of the semi-standard Young tableau for a partition of degree n in sn. Graphical method of approach is explained forthe symmetric group s6 using a partition of degree 6 as an example.
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