%0 Journal Article %T sl(n+1)的次正则幂零表示的同态空间 %A 李宜阳 %A 舒斌 %A 叶刚 %J 华东师范大学学报(自然科学版) %D 2018 %R 10.3969/j.issn.1000-5641.2018.03.002 %X 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.</br>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. %K 标准Levi型 %K 小Verma模 %K 次正则幂零 %K 同态空间< %K /br> %K Key words: standard Levi-form baby Verma module subregular nilpotent homspaces %U http://xblk.ecnu.edu.cn/CN/abstract/abstract25502.shtml