94 citations · 878 across the 51 of their papers we have counts for
52 papers
Weight representations of affine Kac-Moody algebras and small quantum groups
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu
We study the weight modules over affine Kac-Moody algebras from the view point of vertex algebras, and determine the abelian category of weight modules for the simple affine vertex…
The centre of the modular affine vertex algebra
Tomoyuki Arakawa, Lewis Topley, Juan J. Villarreal
The Feigin--Frenkel theorem states that, over the complex numbers, the centre of the universal affine vertex algebra at the critical level is an infinite rank polynomial algebra. T…
Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
We apply results from the geometry of nilpotent orbits and nilpotent Slodowy slices, together with modularity and asymptotic analysis of characters, to prove many new isomorphisms…
Urod algebras and Translation of W-algebras
Tomoyuki Arakawa, Thomas Creutzig, Boris Feigin
In this work, we introduce Urod algebras associated to simply-laced Lie algebras as well as the concept of translation of W-algebras. Both results are achieved by showing that the…
On the nilpotent orbits arising from admissible affine vertex algebras
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau
We give a simple description of the closure of the nilpotent orbits appearing as associated varieties of admissible affine vertex algebras in terms of primitive ideals.
A question of Joseph Ritt from the point of view of vertex algebras
Tomoyuki Arakawa, Kazuya Kawasetsu, Julien Sebag
Let be a field of characteristic zero. This paper studies a problem proposed by Joseph F. Ritt in 1950. Precisely, we prove that (1) If is an integer, for every integ…