By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

Proceedings of the American Mathematical Society, Vol. 139, No. 5 (MAY 2011), pp. 1585-1597 (13 pages) A pre-Lie product is a binary operation whose associator is symmetric in the last two variables.

Given an exponentiable Lie algebra L of operators on a Hilbert space H, we study the spectrum of those self-adjoint, non-adnilpotent operators -iA, with A in L, for a certain class of solvable Lie ...

Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...

My research is mainly in the areas of algebraic Lie theory, combinatorics and representation theory. I am particularly interested in Coxeter groups and their Hecke algebras, diagram algebras and ...