Semisimple algebras and representations of finite groups

Period of duration of course
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Course info
Number of course hours
40
Number of hours of lecturers of reference
40
Number of hours of supplementary teaching
0
CFU 6
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Type of exam

Written and oral exam

Lecturer

View lecturer details

Prerequisites

Basic knowledge of algebra. For third year undergraduate students.

Programme

• Finite algebras over fields. Modules.

• The Jacobson radical

• Semisimplicity. Wedderburn's structure theorem.

• Group algebras. Representations of finite group over algebraically closed fields. Characters and orthogonality.

• Central simple algebras and division algebras. The Brauer group of a field of a field.

• Applications to representations of finite groups over non algebraically closed fields.

Educational aims

Teaching abut semisimple algebras and representations of finite groups