Graphical Approach to Index and Retrieve Standard Young Tableaux

Abstract

Standard Young Tableaux are used to label the basis vectors of the standard or Young Yamanouchi basis of the symmetric group. There is a one - to - one correspondence between the eigen values of the Complete Set of Commuting Operators-I (CSCO-I) of Symmetric group of degree n (Sn) and the Standard Young Tableaux(SYT). In this paper, a new graphical method to index and retrieve the standard Young tableau for a partition of degree n in Sn is presented. This method is illustrated with an example using a partition of degree 6 in symmetric group S6.