Algebras and Representation Theory
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Overview: Algebras & Representation Theory (semester 2)
Noncommutative rings (5 lectures)
- Finitely generated modules over principal ideal domains and applications
- The Artin-Wedderburn Theorem
Representation Theory (5 lectures)
- Representations and characters
- Orthogonality relations
- Induced representations
- Computing character tables
This module is assessed in two assignments.
The notion of a module and related concepts; Basics on Noetherian and Artinian modules; Some commutative algebra, in particular the notion of a principal ideal domain.