Higher Extensions Between
نویسنده
چکیده
Abstract. We calculate Ext• SL2(k) (∆(λ),∆(μ)), Ext• SL2(k) (L(λ),∆(μ)), Ext• SL2(k) (∆(λ), L(μ)), and Ext•SL2(k) (L(λ), L(μ)), where ∆(λ) is the Weyl module of highest weight λ, L(λ) is the simple SL2(k)-module of highest weight λ and our field k is algebraically closed of positive characteristic. We also get analogous results for the Dipper-Donkin quantisation. To do thus we construct the Lyndon-Hochschild-Serre spectral sequence in a new way, and find a new condition for the E2 page of any spectral sequence to be the same as the E∞ page.
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