96759 - REPRESENTATION THEORY

Anno Accademico 2025/2026

  • Docente: Alessandro D'Andrea
  • Crediti formativi: 6
  • SSD: MAT/02
  • Lingua di insegnamento: Inglese
  • Modalità didattica: Convenzionale - Lezioni in presenza
  • Campus: Bologna
  • Corso: Laurea Magistrale in Matematica (cod. 6730)

    Valido anche per Laurea Magistrale in Matematica (cod. 5827)

Conoscenze e abilità da conseguire

At the end of the course, the student knows the fundamental notions of finite-dimensional Lie algebras and their representation theory. The student is able to handle the main tools of this theory that can be used to construct mathematical models.

Contenuti

All the standard topics in every introductory course to Lie algebras: classification of complex semisimple finite-dimensional Lie algebras over an algebraically closed field of characteristic 0; description of finite-dimensional irreducible representations in the same setting.

Testi/Bibliografia

Humphreys "Introduction to Lie Algebras and Representation Theory", Springer

Kac's MIT notes on Lie algebras

McGerty's online notes on Lie algebras

Metodi didattici

Chalk and blackboard.

Problem sets will be (irregularly) circulated.

Modalità di verifica e valutazione dell'apprendimento

Oral exams. Students may be requested to hand in some of the solutions of exercise sheets.

Strumenti a supporto della didattica

All course material will be uploaded on Virtuale.

Orario di ricevimento

Consulta il sito web di Alessandro D'Andrea