On Representations and Characters of Groups
(2022) In Bachelor's Theses in Mathematical Sciences MATK11 20221Mathematics (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:
http://lup.lub.lu.se/student-papers/record/9101563
- author
- Tucker, Kadin LU
- supervisor
- organization
- course
- MATK11 20221
- year
- 2022
- 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}}, }