For each simply connected semisimple algebraic group G defined and split over the prime field β«ήβ¬ , we establish a uniform bound on n above which all of the first p Ε½ . cohomology groups with values in the simple modules for the finite group G n are Ε½ . determined by those for the algebraic group G
On the Chern-Weil homomorphism and the continuous cohomology of Lie-groups
β Scribed by R Bott
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 661 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0001-8708
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But Hn(X; Z)xQ and E x t (Q, 2 ) is isomorphic with countable product of groups Q which implies Ext (Q, Z)xQNa (where K O is the smallest ii1finit.e cardinal number, see [2], IX), and therefore (2) Substituting (2) into ( l ) , we obtain: H"(X; 2) z E x t (Hom (H"-'(X; Z), 2 ) +QNo, 2) Z E x t (Ho
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