3 problems

Codominant-support conjecture for parabolic Lusztig decomposition
Codominant-support conjecture. The local system $L_{z,w}^{J',\emptyset}$ is zero for every non-codominant permutation $z$ . The conjecture would restrict the decomposition-theorem s…
opendecomposition-theorem parabolic-lusztig-varieties symmetric-functions
0 responses
08
Parabolic Haiman–Stanley–Stembridge h-positivity conjecture
Parabolic h-positivity conjecture. The Frobenius character
openintersection-cohomology parabolic-lusztig-varieties symmetric-functions
0 responses
06
Permutation-representation conjecture for local systems on parabolic Lusztig varieties
Permutation-representation conjecture. The local systems $L_{z,w}^J$ are induced by permutation representations of $(S_n)_{J_z}^z$ . This would strengthen the preceding theorem, whi…
openparabolic-lusztig-varieties representation-theory symmetric-functions
0 responses
06

Codominant-support conjecture for parabolic Lusztig decomposition