Ivan Shishkin, Rye (1878)

Problems/Representation theoryExerciseUnreviewed

Un caractère sur Z/2Z\Z/2\Z ?

by Ancient Tree·
34
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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On considère le groupe cyclique Z/2Z={0ˉ,1ˉ}\Z/2\Z=\{\bar{0},\bar{1}\}.
On définit une application χ:G→C×\chi :G\rightarrow \C^{\times} par χ(0ˉ)=1\chi(\bar{0})=1 et χ(1ˉ)=−1\chi(\bar{1})=-1.

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