3 citations · 8 across the 10 of their papers we have counts for
11 papers
Circular Isoptics in Flatland
Alexander Thomas
We explore convex shapes in the Euclidean plane which have the following property: there is a circle such that the angle between the two tangents from any point of to $…
Structure constants for simple Lie algebras from principal -triple
Abdelmalek Abdesselam, Alexander Thomas
For a simple complex Lie algebra , fixing a principal -triple and highest weight vectors induces a basis of as vector space. For $\mat…
Infinitesimal Modular Group: -Deformed and Witt Algebra
Alexander Thomas
We describe new -deformations of the 3-dimensional Heisenberg algebra, the simple Lie algebra and the Witt algebra. They are constructed through a realization…
A Gentle Introduction to the Non-Abelian Hodge Correspondence
Alexander Thomas
We aim at giving a pedagogical introduction to the non-abelian Hodge correspondence, a bridge between algebra, geometric structures and complex geometry. The correspondence links r…
Differential Operators on Surfaces and Rational WKB Method
Alexander Thomas
In this paper, we give a simple and geometric, but formal, description of an open subset of the character variety of surface groups into . The main ingre…
Topological quantum field theories from Hecke algebras
Vladimir Fock, Valdo Tatitscheff, Alexander Thomas
We construct two-dimensional non-commutative topological quantum field theories (TQFTs), one for each Hecke algebra corresponding to a finite Coxeter system. These TQFTs associate…