论文标题
P-ADIC组SLN（F）的L-型表示：最大简单K型
l-modular representations of p-adic groups SLn(F): maximal simple k-types
论文作者
论文摘要
令p为任意素数，k为特征l的代数闭合场，与p不同。我们构建了sln（f）的Levi子组M'的最大简单K型，当F是一个非一切本紧凑的残留特征P的局部紧凑场时，也就是说，M'的M'的cuspidal k-eprentation都可以由不可替代的Modulce中心的k-efortial of's's'的c-代表性诱导。交织意味着最大简单的K型，扩展最大的简单K型和M'的简单K-Character的结合。
Let p be an arbitrary prime number and k be an algebraically closed field of characteristic l different from p. We construct maximal simple k-types of Levi subgroups M' of SLn(F), when F is a non-archimedean locally compact field of residual characteristic p, which is to say that any cuspidal k-representation of M' can be compactly induced from an irreducible k-representation of a compact modulo centre subgroup of M', and we also prove the unicity property of intertwining implies conjugacy for maximal simple k-types, extended maximal simple k-types and simple k-characters of M'.
