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The courses will be provided by Ariane Mézard. You can find additional exercises in last year's exercise sheets. This algebra class is an introduction to group and representation theories.
The exercise sessions take place in room Cartan on Tuesdays between 2:45pm and 4:45pm and Fridays between 1:15pm and 3:15pm (attending only one of the two sessions is sufficient).
Do not hesitate to send me an e-mail at nataniel.marquis@dma.ens.fr or to come into the T13 office for any question.
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Worksheets and partial solutions (written in French, send me an e-mail for English version):
- Exercises to become close with groups: worksheet.
- TD 1, Groups and cyclic groups: worksheet, solution.
- TD 2, Quotients et abelian groups: worksheet, solution.
- TD 3, Abelian groups of finite type, solvable or nilpotent groups : worksheet, solution.
- TD 4, Linear groups and presentations : worksheet, solution.
- TD 5, Group actions and the theorems of Sylow : worksheet, solution.
- TD 6, Symmetric group : worksheet, solution.
- TD 7, Classical simple groups : worksheet, solution.
- TD 8, Representations : worksheet, solution.
- TD 9, Tensors : worksheet.
- TD 10, Characters : worksheet.
- TD 11, Integral properties and characters : worksheet, solution.
- TD 12, Bilinear symmetric forms : worksheet, solution.
The courses will be provided by Gaëtan Chenevier. You can find additional exercises in the lecture notes. This algebra class is an introduction to group and module theories.
Worksheets and partial solutions (written in French):
- Exercises to become close with groups : worksheet.
- TD 1, relations: worksheet, solution.
- TD 2, groups and cyclic groups: worksheet, solution.
- TD 3, quotients and usual groups: worksheet, solution.
- TD 4, abelian groups : worksheet, solution.
- TD 5, group action and symetric group : worksheet, solutions.
- TD 6, semi-direct products : worksheet, solutions.
- TD 7, symmetry and orthogonal group : worksheet, solutions.
- TD 8, (projective ?) geometry : worksheet, solutions.
- TD 9, structure of finite groups : worksheet, solutions.
- TD 10, rings : worksheet, solutions.
- TD 11, modules : worksheet, solutions.
- TD 12, representations : worksheet, solutions.
- TD 13, characters : worksheet, solutions.