Higher extensions between modules for SL2

We calculate , , , , where Δ(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.