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- 2018
sl(n+1)的次正则幂零表示的同态空间DOI: 10.3969/j.issn.1000-5641.2018.03.002 Keywords: 标准Levi型, 小Verma模, 次正则幂零, 同态空间Key words: standard Levi-form baby Verma module subregular nilpotent homspaces Abstract: 摘要 令李代数g=sl(n+l)的基域是特征为素数p的代数闭域k且满足pn+1.本文在g的次正则幂零表示中,证明了相同块中的任意两个小Verma模的同态是非零的.这揭示了小Verma模之间的完整联系.Abstract:Let g=sl(n+1) be the special linear Lie algebra over an algebraically closed field k of prime characteristic p with pn+1. We show that the hom-spaces between any two baby Verma modules in the same given block are always nonzero for subregular nilpotent representations of g, which reveals a complete linkage atlas for baby Verma modules.
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