5 papers
l-modular blocks of Rep_k(SL_n(F))
Peiyi Cui
Let F be a non-archimedean local field with residual characteristic p, and k an algebraically closed field with characteristic l, where l different from p. Let Rep_k(SL_n(F)) be th…
Modulo distinction problems
Peiyi Cui, Thomas Lanard, Hengfei Lu
Let be a non-archimedean local field of characteristic different from 2 and residual characteristic . This paper concerns the -modular representations of a connected r…
Category decomposition of Rep_k(SL_n(F))
Peiyi Cui
Let F be a non-archimedean local field with residual characteristic p, and k an algebraically closed field of characteristic l different from p. We establish a category decompositi…
Supercuspidal support of irreducible modulo l-representations of SL_n(F)
Peiyi Cui
Let k be an algebraically closed field with characteristic l different from p. We show that the supercuspidal support of irreducible smooth k-representations of Levi subgroups M' o…
l-modular representations of p-adic groups SLn(F): maximal simple k-types
Peiyi Cui
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),…