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Transfer of Highest Weight Modules and Small Unipotent Representations
编辑:魏佳发布时间:2021年04月03日

报告人:黄家裕(香港中文大学深圳分校)

时  间:510日上午10:00

地  点:厦大海韵园实验楼105报告厅

内容摘要:

Let $G$ be a real reductive Lie group. It is conjectured that the `building blocks' of the unitary dual of $G$ are given by unipotent representations. In this talk, we will give some constructions of unipotent representations with small Gelfand-Kirillov dimensions. More precisely, we focus a technique called `transfer' defined by Wallach, which allows one to obtain new unipotent representations from some old ones. As a consequence, we can construct all small unipotent representations for all equal rank real forms of $E_6$ and $E_7$. This is a joint work with Haian He and Jing-song Huang.

个人简介:

黄家裕现于香港中文大学(深圳)任职助理教授。他在2003年取得李兆基奖学金,在英国牛津大学华顿学院取得数学硕士学位,其后于美国康奈尔大学获得博士学位,并在香港科技大学从事博士后工作。他的研究方向为李群及李代数的表示论,以及它们跟量子化的关系。研究成果在J. Algebra, Transform. Group, Proc. Amer. Math. Soc., Represent. Theory等期刊上发表。

 

联系人:余世霖