8-periodic complexes 1abelian artinian categories 1big data analysis 1categories with duality 1computational algebra 1exact sequences 1fundamental constant tests 1kazhdan-lusztig polynomials 1methanol spectroscopy 1optical frequency comb 1precision frequency measurement 1radio-astronomy 1
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math.RT2026
Big data approach to Kazhdan-Lusztig polynomials
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
The paper uses large‑scale computational and data‑analysis techniques to study Kazhdan‑Lusztig polynomials for symmetric groups up to size 11, revealing structural patterns through…
math.RT2026
On Hecke and asymptotic categories for a family of complex reflection groups
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
Generalizing the dihedral picture for G(M,M,2), we construct Hecke algebras (and present a strategy for constructing Hecke categories) and asymptotic counterparts. We think of thes…