3 problems

Matching

QP1–QP2 conjecture for conjugacy classes of twisted involutions
About 12 years old
QP1–QP2 conjecture. Every conjugacy class in $I^+$ satisfying (QP1) also satisfies (QP2), and hence is quasiparabolic.
opencoxeter-groups quasiparabolic-sets twisted-involutions
08
Parabolic characterization conjecture for transitive quasiparabolic sets
About 12 years old
Parabolic characterization conjecture. If
opencoxeter-groups quasiparabolic-sets
05
Rains–Vazirani's bar-operator conjecture for quasiparabolic sets
At least 11 years old
Rains–Vazirani's bar-operator conjecture. If $X$ is bounded below, then each of the modules
openhecke-algebras kazhdan-lusztig-theory quasiparabolic-sets
05

QP1–QP2 conjecture for conjugacy classes of twisted involutions