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

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