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Multilinear algebra and group theory [ LMAT1231 ]


6.0 crédits ECTS  30.0 h + 30.0 h   2q 

Teacher(s) Gran Marino ;
Language English
Place
of the course
Louvain-la-Neuve
Prerequisites

A first course in linear algebra

Main themes

Elements of the theory of groups: quotients groups and the isomorphism theorems, abelianisation, cyclic groups, group actions and symmetric groups. Complements of linear algebra: quotient spaces, duality of finite-dimensional vector spaces. Multilinear algebra: basic properties of the tensor product of vector spaces and of linear maps.

Aims

This course is an introduction to group theory and to multilinear algebra. In this context we consider some universal constructions which are important in algebra and geometry. The course aims to develop reasoning and calculating skills in the context of algebraic structures.

Other information Prerequisites: A first course in linear algebra
Cycle et année
d'étude
> Bachelor in Mathematics
> Bachelor in Physics
> Bachelor in Economics and Management
> Bachelor in Engineering
Faculty or entity
in charge
> MATH


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