Representations and characters of finite groups
D. O. Revin, A. V. Zavarnitsine
TL;DR
This paper provides an extended lecture note overview of the representation theory of finite groups, aimed at graduate and postgraduate students, covering fundamental concepts and character theory.
Contribution
It offers a comprehensive, pedagogical compilation of representation theory and characters of finite groups, tailored for advanced students and educators.
Findings
Detailed exposition of finite group representations
Introduction to character theory and its applications
Educational resource for graduate-level mathematics
Abstract
This text is an extended version of the lecture notes for a course on representation theory of finite groups that was given by the authors during several years for graduate and postgraduate students of Novosibirsk State University and Sobolev Institute of Mathematics.
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Taxonomy
TopicsFinite Group Theory Research · Quasicrystal Structures and Properties · Crystallography and Radiation Phenomena