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

Hongjia Chen; Sandeep Bhargava; Yun Gao

arxiv: 1906.03453 · v1 · pith:5PCYVW3Onew · submitted 2019-06-08 · 🧮 math.RT · math.QA· math.RA

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

Sandeep Bhargava , Hongjia Chen , Yun Gao This is my paper

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

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