From the 1 of 16 linked papers with an AI index.
16 papers
Growth in affine Hecke categories
Kevin Coulembier, Jensen O'Sullivan, Daniel Tubbenhauer
This paper studies the asymptotic growth of tensor powers in affine Hecke categories, or equivalently of powers of Kazhdan--Lusztig basis elements in affine Hecke algebras. We prov…
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…
Presentations for categories of crystals
Moaaz Alqady, David He, Daniel Tubbenhauer
We give generators and relations for the monoidal categories of crystals generated by the fundamental crystals of a simple complex Lie algebra. We also spell out several small-rank…
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…
Minimal presentations of gln-web categories
Genta Latifi, Daniel Tubbenhauer
In this paper we study categories of gln-webs which describe associated representation categories of the quantum group Uq(gln). We give a minimal presentation of the category of gl…
Affine diagram categories, algebras and monoids
David He, Daniel Tubbenhauer
We introduce and study several affine (=annular in this paper) versions of the classical diagram algebras such as Temperley-Lieb, partition, Brauer, Motzkin, rook Brauer, rook, pla…