Biderivations serve as bilinear mappings that satisfy derivation conditions in each argument of a Lie algebra. They offer a refined tool to probe the structure of Lie algebras, delineating both inner ...

Proceedings of the American Mathematical Society, Vol. 104, No. 2 (Oct., 1988), pp. 363-368 (6 pages) For a perfect field $F$ of arbitrary characteristic, the ...

Vertex algebras have emerged as a potent algebraic framework for encapsulating the operator product expansion inherent in conformal field theory, while extended affine Lie algebras (EALAs) generalise ...

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.

A partition of a positive integer n is a non-increasing sequence of positive integers whose sum is n, the partitions of 3 ...

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 ...