sl(n+1)的次正则幂零表示的同态空间(英文)  

Hom-spaces for subregular nilpotent representations of sl(n+1)

作　　者：李宜阳 舒斌 叶刚 LI Yi-yang;SHU Bin;YE Gang(School of Mathematics, Physics and Statistics, Shanghai University of Engineering Scienc;School of Mathematical Sciences, East China Normal Universit)

机构地区：[1]上海工程技术大学数理与统计学院,上海201620 [2]华东师范大学数学科学学院,上海200241

出　　处：《华东师范大学学报（自然科学版）》2018年第3期18-24,45,共8页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11671138);新疆维吾尔自治区自然科学基金(2016DOlA014)

摘　　要：令李代数g=sl(n+1)的基域是特征为素数p的代数闭域k且满足pn+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.Let g = sl（n ＋ 1） be the special linear Lie algebra over an algebraically closed field k of prime characteristic p with p  n ＋ 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.

关 键 词：标准Levi型 小Verma模 次正则幂零 同态空间 

分 类 号：O152.5[理学—数学]