Higher extensions between modules for SL2
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- 作者：Alison E. Parker
- 关键词：Cohomology ; Special linear group ; Lyndon– ; Hochschild– ; Serre spectral sequence ; Ext groups
- 刊名：Advances in Mathematics
- 出版年：2007
- 出版时间：15 February 2007
- 年：2007
- 卷：209
- 期：1
- 页码：381-405
- 全文大小：229 K
文摘
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 24247a07ccf6ff2e69ef3d2228a4"" title=""Click to view the MathML source"">E∞ page.