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Appendix: on galois representations with values in g2.
| Content Provider | CiteSeerX |
|---|---|
| Author | Dettweiler, Michael Katz, Nicholas M. |
| Abstract | Let ℓ be a prime and let H(1, 1) be the cohomologically rigid ¯ Qℓ-sheaf on A 1 ¯ Q of rank 7 which is given in Thm. 1.3.1 of the article (whose notation we adopt). By loc. cit., the restriction of H(1, 1) to A 1 ¯ Q \ {0, 1} is a lisse ¯ Qℓ-sheaf whose monodromy is dense in the exceptional algebraic group G2 ( ¯ Qℓ) and whose local monodromy at 0, 1, ∞ is of the following type (1) 1 3 ⊕ (−1) 4, U(2) 2 ⊕ U(3), U(7), respectively. By [5], Thm. 5.5.4, there exists a lisse Qℓ-sheaf Gℓ on Sℓ: = A 1 Rℓ \ {0, 1} (Rℓ = |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Galois Representation Lisse Sheaf Rigid Sheaf Exceptional Algebraic Group G2 Following Type Local Monodromy |
| Content Type | Text |
| Resource Type | Article |
