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

Sandeep Bhargava; Hongjia Chen; Yun Gao

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arXiv · 1906.03453

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

Sandeep Bhargava·Hongjia Chen·Yun Gao

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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.

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Sandeep Bhargava, Hongjia Chen, Yun Gao. 2019-06-08. Finite dimensional irreducible representations of the nullity 2 centreless core $\mathfrak{g}_{2n,\rho}(\mathbb{C}_q)$. https://arxiv.org/abs/1906.03453

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