Mathematics: Representation Theory

Utbildningsfakta

Kod: MATM46

<p>The course gives an introduction to representations of finite groups over the complex numbers and to character theory.</p><p>The course treats:</p> <ul> <li>Group representations: linear representations, equivalent representations, regular representation, induced and restricted representations, irreducible representations, Maschke’s Theorem, dual representations and tensor product of representations.</li> <li>Character theory: characters of representations, induced characters, irreducible characters, orthogonality relations, integrality, character tables, the Mackey formula, Frobenius reciprocity.</li> <li>Applications to groups: Burnside’s Theorem, Frobenius’ Theorem, Frobenius divisibility.</li> </ul>

Behörighet

For admission to the course, English 6/B is required as well as at least 90 credits in pure mathematics including knowledge equivalent to the courses MATM31 Algebraic Structures, 7.5 credits and MATP33 Group and Ring Theory, 7.5 credits.

Utbildningstillfällen

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• Mathematics: Representation Theory

  Lund University

  Lund

  Startdatum: 18 januari 2027

  Slutdatum: 28 mars 2027

  Studietakt: 50 %