39 citations · 44 across the 7 of their papers we have counts for
9 papers
Division algebras that generalize Dickson semifields
Daniel Thompson
We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras. We thus…
A generalisation of Dickson's commutative division algebras
Daniel Thompson
Dickson's commutative semifields are an important class of finite division algebras. We generalise Dickson's construction of commutative division algebras by doubling both finite f…
Dynamical elliptic Bethe algebra, KZB eigenfunctions, and theta-polynomials
Daniel Thompson, Alexander Varchenko
Let be the zero weight subspace of a tensor product of finite-dimensional irreducible -modules. The dynamical elliptic Bethe algebra is a com…
Holonomic modules over Cherednik algebras, I
Daniel Thompson
The goal of this paper is to generalize several basic results from the theory of -modules to the representation theory of rational Cherednik algebras. We relate characteri…
The image of the KZ functor for Cherednik algebras of varieties with finite group actions
Daniel Thompson
We prove that the KZ functor from a certain category of modules for the Cherednik algebra to finite dimensional modules over the Hecke algebra is essentially surjective. Then we be…
Hypermatrix factors for string and membrane junctions
Yuhan Fang, Shir Levkowitz, Hisham Sati +1
The adjoint representations of the Lie algebras of the classical groups SU(n), SO(n), and Sp(n) are, respectively, tensor, antisymmetric, and symmetric products of two vector space…