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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Objective of the Study
1.3 Limitation of the Study
1.4 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Representation Theory
2.2 Group Representations
2.3 Characters of Groups

Chapter 3: Research Methodology
3.1 Data Collection Methods
3.2 Data Analysis Techniques
3.3 Sampling Techniques

Chapter 4: Discussion of Findings
4.1 Analysis of Group Representations
4.2 Analysis of Characters of Groups
4.3 Comparison of Theoretical and Empirical Results

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion and Recommendations for Future Research

Brief Overview:

Representation theory is a branch of mathematics that studies abstract algebraic structures called groups by representing them as linear transformations of vector spaces. In this thesis on Group Representations and Characters, we aim to explore the ways in which groups can be represented and characterized through their characters.

Chapter 1 introduces the background, objective, limitation, and scope of the study. Chapter 2 provides a comprehensive review of representation theory, group representations, and characters of groups. Chapter 3 discusses the research methodology employed in this study, including data collection, analysis, and sampling techniques.

Chapter 4 presents the discussion of findings, including the analysis of group representations and characters of groups, as well as a comparison of theoretical and empirical results. Finally, Chapter 5 presents the conclusion and summary of the thesis, highlighting key findings and recommendations for future research in the field of representation theory.

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