arXiv
Open Access
2024
A note on Combinatorial Invariance of Kazhdan--Lusztig polynomials
Francesco Esposito
Mario Marietti
Grant T. Barkley
Christian Gaetz
Abstrak
We introduce the concepts of an amazing hypercube decomposition and a double shortcut for it, and use these new ideas to formulate a conjecture implying the Combinatorial Invariance Conjecture of the Kazhdan--Lusztig polynomials for the symmetric group. This conjecture has the advantage of being combinatorial in nature. The appendix by Grant T. Barkley and Christian Gaetz discusses the related notion of double hypercubes and proves an analogous conjecture for these in the case of co-elementary intervals.
Penulis (4)
F
Francesco Esposito
M
Mario Marietti
G
Grant T. Barkley
C
Christian Gaetz
Akses Cepat
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