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ADVANCED ALGEBRA B

Degree course: 
Corso di Second cycle degree in MATHEMATICS
Academic year when starting the degree: 
2022/2023
Year: 
1
Academic year in which the course will be held: 
2022/2023
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
Second semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

Linear Algebra, Algebra 1 (basics of group theory)

Final Examination: 
Orale

Tests with exercises; final oral exam.

Assessment: 
Voto Finale

To provide the students an elementary introduction to the Theory of Lie Algebras, and the ability to solve some simple problems regarding Lie Algebras.

The aim of the course is to give an elementary introduction to the theory of Lie Algebras. Starting from the definition of a Lie Algebra, we will study Lie algebras of low dimension, and solvable Lie algebras. The ultimate goal of the course is to prove the classification of complex simple Lie algebras via root systems.

- Definitions and examples
- Lie Algebreas of low dimension
- Solvable Algebras
- Engel's and Lie's theorems
- Representations
- Cartan's criterion
- Roots systems
- Classification of simple algebras

Lectures and exercises.

The reception with the teacher is by appointment: contact at claudio.quadrellił@uninsubria.it

Professors

QUADRELLI CLAUDIO

Borrowers