76 citations · 145 across the 24 of their papers we have counts for
27 papers
Generating Hadamard matrices with transformers
Geordie Williamson, Oded Yacobi, Paul Zinn-Justin
We present a new method for constructing Hadamard matrices that combines transformer neural networks with local search in the PatternBoost framework. Our approach is designed for e…
Semisimplifying categorical Heisenberg actions and periodic equivalences
Chris Hone, Finn Klein, Bregje Pauwels +3
We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…
Normalisers of parabolic subgroups of Artin--Tits groups and Tits cone intersections
Owen Garnier, Edmund Heng, Anthony Licata +1
Let be a Coxeter diagram and let . Motivated by 3-fold flops, Iyama and Wemyss study the hyperplane arrangement in the Tits cone intersection of , which is a…
Periodic elements in finite type Artin-Tits groups and stability conditions
Edmund Heng, Anthony M. Licata, Oded Yacobi
Periodic elements in finite type Artin--Tits groups are elements some positive power of which is central. We give a dynamical characterisation of periodic elements via their action…
Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of
Ali Haidar, Oded Yacobi
We prove that the Kazhdan-Lusztig basis of Specht modules is upper triangular with respect to all generalized Gelfand-Tsetlin bases constructed from any multiplicity-free tower of…
4-Strand Burau is Unfaithful Modulo 5
Joel Gibson, Geordie Williamson, Oded Yacobi
We introduce a new algorithm for finding kernel elements in the Burau representation. Our algorithm applies reservoir sampling to a statistic on matrices which is closely correlate…
On the action of the Weyl group on canonical bases
Fern Gossow, Oded Yacobi
We study representations of simply-laced Weyl groups which are equipped with canonical bases. Our main result is that for a large class of representations, the separable elements o…
Lie algebra actions on module categories for truncated shifted Yangians
Joel Kamnitzer, Ben Webster, Alex Weekes +1
We develop a theory of parabolic induction and restriction functors relating modules over Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors gener…
On the action of the long cycle on the Kazhdan-Lusztig basis
Fern Gossow, Oded Yacobi
The complex irreducible representations of the symmetric group carry an important canonical basis called the Kazhdan-Lusztig basis. Although it is difficult to express how general…
On Schützenberger modules of the cactus group
Jongmin Lim, Oded Yacobi
The cactus group acts on the set of standard Young tableau of a given shape by (partial) Schützenberger involutions. It is natural to extend this action to the corresponding Specht…
Categorical braid group actions and cactus groups
Iva Halacheva, Anthony Licata, Ivan Losev +1
Let be a semisimple simply-laced Lie algebra of finite type. Let be an abelian categorical representation of the quantum group cate…
On a conjecture of Pappas and Rapoport about the standard local model for
Dinakar Muthiah, Alex Weekes, Oded Yacobi
In their study of local models of Shimura varieties for totally ramified extensions, Pappas and Rapoport posed a conjecture about the reducedness of a certain subscheme of $n \time…
On category for affine Grassmannian slices and categorified tensor products
Joel Kamnitzer, Peter Tingley, Ben Webster +2
Truncated shifted Yangians are a family of algebras which naturally quantize slices in the affine Grassmannian. These algebras depend on a choice of two weights and for a L…
The equations defining affine Grassmannians in type A and a conjecture of Kreiman, Lakshmibai, Magyar, and Weyman
Dinakar Muthiah, Alex Weekes, Oded Yacobi
The affine Grassmannian of admits an embedding into the Sato Grassmannian, which further admits a Plücker embedding into the projectivization of Fermion Fock space. Kreiman,…
A quantum Mirković-Vybornov isomorphism
Ben Webster, Alex Weekes, Oded Yacobi
We present a quantization of an isomorphism of Mirković and Vybornov which relates the intersection of a Slodowy slice and a nilpotent orbit closure in , to a sli…
An equivalence between truncations of categorified quantum groups and Heisenberg categories
Hoel Queffelec, Alistair Savage, Oded Yacobi
We introduce a simple diagrammatic 2-category that categorifies the image of the Fock space representation of the Heisenberg algebra and the basic representation of $…
Reducedness of affine Grassmannian slices in type A
Joel Kamnitzer, Dinakar Muthiah, Alex Weekes +1
We prove in type A a conjecture which describes the ideal of transversal slices to spherical Schubert varieties in the affine Grassmannian. As a corollary, we prove a modular descr…
Highest weights for truncated shifted Yangians and product monomial crystals
Joel Kamnitzer, Peter Tingley, Ben Webster +2
Truncated shifted Yangians are a family of algebras which are natural quantizations of slices in the affine Grassmannian. We study the highest weight representations of these algeb…
Quantum Polynomial Functors
Jiuzu Hong, Oded Yacobi
We construct a category of quantum polynomial functors which deforms Friedlander and Suslin's category of strict polynomial functors. The main aim of this paper is to develop from…
Categorification and Heisenberg doubles arising from towers of algebras
Alistair Savage, Oded Yacobi
The Grothendieck groups of the categories of finitely generated modules and finitely generated projective modules over a tower of algebras can be endowed with (co)algebra structure…
Yangians and quantizations of slices in the affine Grassmannian
Joel Kamnitzer, Ben Webster, Alex Weekes +1
We study quantizations of transverse slices to Schubert varieties in the affine Grassmannian. The quantization is constructed using quantum groups called shifted Yangians --- these…
Polynomial functors and categorifications of Fock space
Jiuzu Hong, Antoine Touzé, Oded Yacobi
Fix an infinite field of characteristic , and let $\g$ be the Kac-Moody algebra if and otherwise. Let $\PP$ denote the…
Polynomial functors and categorifications of Fock space II
Jiuzu Hong, Oded Yacobi
We categorify various Fock space representations on the algebra of symmetric functions via the category of polynomial functors. In a prequel, we used polynomial functors to categor…
Polynomial representations and categorifications of Fock Space
Jiuzu Hong, Oded Yacobi
The rings of symmetric polynomials form an inverse system whose limit, the ring of symmetric functions, is the model for the bosonic Fock space representation of the affine Lie alg…