Return to Answer

Already in the case of finite symmetric groups, one can find any polynomial with non-negative integral coefficients and constant term 1 as KL polynomial for some pair of group elements. See the paper by Patrick Polo here. But specific examples take a little more work. Check tne old tables for Weyl groups (and affine Weyl groups) on Mark Goresky's webpage at IAS here.

Already in the case of finite symmetric groups, one can find any polynomial with non-negative integral coefficients and constant term 1 as KL polynomial for some pair of group elements. See the paper by Patrick Polo here. But specific examples take a little more work. Check the old tables for Weyl groups (and affine Weyl groups) on Mark Goresky's webpage at IAS here.

Already in the case of finite symmetric groups, one can find any polynomial with non-negative integral coefficients and constant term 1 as KL polynomial for some pair of group elements. See the paper by Patrick Polo here. But specific examples take a little more work. Check tne old tables for Weyl groups (and affine Weyl groups) on Mark Goresky's webpage at IAS here.

Already in the case of finite symmetric groups, one can find any polynomial with non-negative integral coefficients and constant term 1 as KL polynomial for some pair of group elements. See the paper by Patrick Polo here. But specific examples take a little more work. Check tne old tables for Weyl groups (and affine Weyl groups) on Mark Goresky's webpage at IAS here.

Already in the case of finite symmetric groups, one can find any polynomial with non-negative integral coefficients and constant term 1 as KL polynomial for some pair of group elements. See the paper by Patrick Polo here. But specific examples take a little more work. Check tne old tables for Weyl groups (and affine Weyl groups) on Mark Goresky's webpage at IAS here/

Already in the case of finite symmetric groups, one can find any polynomial with non-negative integral coefficients and constant term 1 as KL polynomial for some pair of group elements. See the paper by Patrick Polo here. But specific examples take a little more work. Check tne old tables for Weyl groups (and affine Weyl groups) on Mark Goresky's webpage at IAS here.