#TITLE_ALTERNATIVE#

This master thesis presents a special case from representation theory of finite group, i.e. the representation theory of symmetric group, Symn, according to paper by Mcnamara and Zhao. Symmetric group Symn is a group that consist of all permutations on (1,2,....,n) with composition function as its b...

Full description

Saved in:
Bibliographic Details
Main Author: NISFULAILA (NIM : 20112014) ; Pembimbing Tesis Dr. Muchtadi Intan Detiena, INTAN
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/18712
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Institut Teknologi Bandung
Language: Indonesia
Description
Summary:This master thesis presents a special case from representation theory of finite group, i.e. the representation theory of symmetric group, Symn, according to paper by Mcnamara and Zhao. Symmetric group Symn is a group that consist of all permutations on (1,2,....,n) with composition function as its binary operation. In this master thesis, first, we will discuss about constructing irreducible representation of Symn with utilizing a well known tool called Young tableaux, corresponding to some partition of n. Second, we will analyze the implementation of representation of some symmetric group on a set of colours in determining chromatic polynomials of bracelet graph according to paper by Biggs and Ph.D thesis by Reinfeld. This thesis emphasizes in analyzing of how <br /> <br /> <br /> <br /> <br /> the representation of the symmetric group on a set of colours in determining chromatic polynomial of bracelet graph which has obtained before by using compatibility matrix method.