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Example G2
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Classroom Contents
Representations of Fuchsian Groups, Parahoric Group Schemes by Vikraman Balaji
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- 1 Representations of Fuchsian groups, parahoric group schemes
- 2 Outline
- 3 Principal G-bundle
- 4 Definition of Root System
- 5 Chambers of R
- 6 Highest Root: G-simple, the adjoint representation which is reducible has a unique highest weight
- 7 Cartan matrix
- 8 Affine roots
- 9 Basic affine roots
- 10 Note
- 11 Example G2
- 12 Root Homomorphisms
- 13 Basic example of the paregoric group
- 14 Fuchsian groups
- 15 First case-parabolic
- 16 Lemma
- 17 Q&A
