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math.AG2022
Parabolic Lusztig varieties and chromatic symmetric functions
Alex Abreu, Antonio Nigro
The characters of Kazhdan--Lusztig elements of the Hecke algebra over (and in particular, the chromatic symmetric function of indifference graphs) are completely encoded in t…
math.AG2022★ 1 cited
A geometric approach to characters of Hecke algebras
Alex Abreu, Antonio Nigro
To any element of a connected, simply connected, semisimple complex algebraic group G and a choice of an element of the corresponding Weyl group there is an associated Lusztig vari…
math.AG2022★ 1 cited
An update on Haiman's conjectures
Alex Abreu, Antonio Nigro
We revisit Haiman's conjecture on the relations between characters of Kazdhan-Lusztig basis elements of the Hecke algebra over the symmetric group. The conjecture asserts that, for…