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Classification of simple sℓ(2)-Modules and finite-dimensionality of the module of extensions of simple sℓ(2)-modules

✍ Scribed by V. V. Bavula


Book ID
112471009
Publisher
Springer
Year
1990
Tongue
English
Weight
495 KB
Volume
42
Category
Article
ISSN
0041-5995

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📜 SIMILAR VOLUMES


Extensions of modules for SL(2,K)
✍ Maud De Visscher 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 104 KB

In this paper, we consider the induced modules ∇ and the Weyl modules for the algebraic group G = SL(2, K) where K is an algebraically closed field of characteristic p > 0. We determine the G-modules H i (G 1 , ∇(s) ⊗ ∇(t)) for all i 0, where G 1 is the first Frobenius kernel of G. We then use it to