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arXiv · 1605.06214

Symmetric bilinear form on a Lie algebra

Eun-Hee Cho·Sei-Qwon Oh
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Abstract

Let $\frak g$ be the finite dimensional simple Lie algebra associated to an indecomposable and symmetrizable generalized Cartan matrix $C=(a_{ij})_{n\times n}$ of finite type and let $\frak d$ be a finite dimensional Lie algebra related to a quantum group $D_{q,p^{-1}}(\frak g)$ obtained by Hodges, Levasseur and Toro \cite{HoLeT} by deforming the quantum group $U_q(\frak g)$. Here we see that $\frak d$ is a generalization of $\frak g$ and give a $\frak d$-invariant symmetric bilinear form on $\frak d$.

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Eun-Hee Cho, Sei-Qwon Oh. 2016-05-20. Symmetric bilinear form on a Lie algebra. https://arxiv.org/abs/1605.06214

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