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On Representations and Characters of Groups

Tucker, Kadin LU (2022) In Bachelor's Theses in Mathematical Sciences MATK11 20221
Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
Abstract
In this thesis we introduce the mathematical fields of representation theory and character theory, providing a broad outline of the main concepts of each from the background of a general knowledge of abstract algebra. We cover a broad introduction to the representations of groups viewed as group and algebra homomorphisms and as modules over the group algebra, then proceed to consider key results on the structure of representations. Character theory is then introduced, as well as the main components of the structure of characters through their formation of an orthonormal basis for the space of class functions.
Please use this url to cite or link to this publication:
author
Tucker, Kadin LU
supervisor
organization
course
MATK11 20221
year
type
M2 - Bachelor Degree
subject
keywords
group, groups, algebra, abstract algebra, modern algebra, representation, representations, character theory, character, characters, modules, noncommutative, maschke, schur
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFMA-4139-2022
ISSN
1654-6229
other publication id
2022:K20
language
English
id
9101563
date added to LUP
2024-04-15 16:52:17
date last changed
2024-04-15 16:52:17
@misc{9101563,
  abstract     = {{In this thesis we introduce the mathematical fields of representation theory and character theory, providing a broad outline of the main concepts of each from the background of a general knowledge of abstract algebra. We cover a broad introduction to the representations of groups viewed as group and algebra homomorphisms and as modules over the group algebra, then proceed to consider key results on the structure of representations. Character theory is then introduced, as well as the main components of the structure of characters through their formation of an orthonormal basis for the space of class functions.}},
  author       = {{Tucker, Kadin}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor's Theses in Mathematical Sciences}},
  title        = {{On Representations and Characters of Groups}},
  year         = {{2022}},
}