標(biāo)題：Finite dimensional representations of root graded Lie algebras $\mathfrak{g}_{N,\rho} (\mathbb{C}_q)$
報(bào)告時(shí)間：2025年10月31日（星期五）10:00-10:45
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議(會(huì)議ID: 956869392)
主講人：陳洪佳
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
Extended affine Lie algebras (EALA) were first introduced by physicists Hoegh-Krohn and Torresani, as a generalization of finite-dimensional simple Lie algebras and affine Kac-Moody Lie algebras over the complex numbers $\mathbb{C}$. In 2006, Yoshii gave a simple characterization of the core of an EALA. Namely, he showed that the core of any EALA is a Lie torus, and any centreless Lie torus is the centreless core of some EALA. In this talk, the finite-dimensional irreducible representations of the nullity 2 centreless core $\mathfrak{g}_{N,\rho}(\mathbb{C}_q)$ will be discussed by investigating the structure of the root graded Lie algebras $\mathfrak{g}_{N,\rho}(R)$. This talk is based on the joint work with Sandeep Bhargava, Qi Chen and Yun Gao.
主講人簡(jiǎn)介：
陳洪佳，中國(guó)科學(xué)技術(shù)大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授、博士生導(dǎo)師，國(guó)家級(jí)高層次青年人才。主要從事李代數(shù)、量子群及其表示理論的研究，相關(guān)成果發(fā)表在《Adv. Math.》、《Trans. Amer. Math. Soc.》、《J. Lond. Math. Soc.》、《Math. Z.》、 《Forum Math.》、 《J. Algebra》、《J. Pure Appl. Algebra》等知名期刊。
