Finite dimensional irreducible representations of the nullity 2 centreless core ${\mathfrak{g}}_{2n,\rho }({\mathbb{C}}_q)$

Abstract

We study the finite-dimensional irreducible representations of the nullity 2 centreless core ${\mathfrak{g}}_{2n,\rho }({\mathbb{C}}_q)$ by investigating the structure of the ${\mathrm{BC}}_n$-graded Lie algebra ${\mathfrak{g}}_{2n,\rho }(R)$, where $R$ is a unital involutory associative algebra over a field $k$ of characteristic zero.

25 pages