Sumários

Chapter 2 Topics of Algebra and Applications and Chapter 3 Topics of Geometry & Topology and Applications

5 novembro 2019, 08:00 • José Manuel Vergueiro Monteiro Cidade Mourão

2.2.6 Applications to civil engeneering

Using the representation theory of finite groups to simplify 
the vibrational modes equation and the buckling equation. 

Chapter 3 Topics of Geometry & Topology and Applications  

3.1 Topological and metric spaces
3.1.1 Introduction
3.1.2 Metric spaces
3.1.3 Topological spaces

Test 1

4 novembro 2019, 17:00 • José Manuel Vergueiro Monteiro Cidade Mourão

Test 1

Chapter 2 Topics of Algebra and Applications

29 outubro 2019, 08:00 • José Manuel Vergueiro Monteiro Cidade Mourão

2.2.4  Representations of groups (continued)

Projection operators. 
Fourier transform for finite abelian groups. 

Chapter 2 Topics of Algebra and Applications

28 outubro 2019, 17:00 • José Manuel Vergueiro Monteiro Cidade Mourão

2.2.4 Representations of groups (continued)

Orthogonality of characters and use of character tables to find the isotypical decomposition of representations.
Proof that the characters of irreducible representations form an orthonormal basis of the space of class
functions on the group. 

Chapter 2 Topics of Algebra and Applications

22 outubro 2019, 08:00 • José Manuel Vergueiro Monteiro Cidade Mourão

2.2.4 Representations of groups (continued)

Schur's Lemma and corollaries. Schur's orthogonality relations. 
Characters and class functions.