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Graphical Approach to Index and Retrieve Standard Young Tableaux

by A.ganapathi Rao, N.ravi Shankar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 111 - Number 10
Year of Publication: 2015
Authors: A.ganapathi Rao, N.ravi Shankar
10.5120/19573-1371

A.ganapathi Rao, N.ravi Shankar . Graphical Approach to Index and Retrieve Standard Young Tableaux. International Journal of Computer Applications. 111, 10 ( February 2015), 10-15. DOI=10.5120/19573-1371

@article{ 10.5120/19573-1371,
author = { A.ganapathi Rao, N.ravi Shankar },
title = { Graphical Approach to Index and Retrieve Standard Young Tableaux },
journal = { International Journal of Computer Applications },
issue_date = { February 2015 },
volume = { 111 },
number = { 10 },
month = { February },
year = { 2015 },
issn = { 0975-8887 },
pages = { 10-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume111/number10/19573-1371/ },
doi = { 10.5120/19573-1371 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:47:30.588699+05:30
%A A.ganapathi Rao
%A N.ravi Shankar
%T Graphical Approach to Index and Retrieve Standard Young Tableaux
%J International Journal of Computer Applications
%@ 0975-8887
%V 111
%N 10
%P 10-15
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The 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.

References
  1. Stanley, R. P. (1980). The character generator of SU (n). Journal of Mathematical Physics, 21(9), 2321-2326.
  2. Patera, J. (2004). RT Sharp and Generating Functions in Group Theory. Symmetry in Physics: In Memory of Robert T. Sharp, 34, 159.
  3. Delaney, R. M. , & Gruber, B. (1969). Inner and restriction multiplicity for classical groups. Journal of Mathematical Physics, 10(2), 252-265.
  4. Wilf, H. S. (1977). A unified setting for sequencing, ranking, and selection algorithms for combinatorial objects. Advances in Mathematics, 24(3), 281-291
  5. Chen J Q, Group Representation theory for physicists, World Scientific publishing Co. Pvt. Ltd. , 1989
  6. Shankar, N. R. , Suryanarayana, C. , Sekhar, S. R. , & Rao, A. G. (2010). The Kronecker Product of Symmetric Group Representations Using Schur Functions. International Journal of Algebra, 4(12), 579-584.
Index Terms

Computer Science
Information Sciences

Keywords

Symmetric group Standard Young Tableaux indexing retrieving CSCO-I

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