Representation theory
Braid representations
We demonstrate that the Lawrence–Krammer representation arises as a q-deformation of the symmetric square of the Burau representation.
OK
Linear Algebra and its ApplicationsThe London Institute’s papers are the official record of our discoveries. They allow others to build on and apply our work. Each one is the result of many months of research, so we strive to make them clear, inspiring and beautiful, and publish them in leading journals.
Representation theory
Irreducible group action
We construct the unitary representation of an infinite-dimensional general linear group acting on a space and establish its irreducibility.
OKPM
Journal of Lie TheoryPM
Representation theory
Group representations
A general approach to proving the irreducibility of representations of infinite-dimensional groups within the frame of Ismagilov's conjecture.
OK
ArXiv
Linear algebra
Infinite parallelotope
We study the geometry of finite dimensional space as the dimension grows to infinity with an accent on the height of the parallelotope.
OK
Linear Algebra and its Applications