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)

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.