学术报告|
当前位置:首页 > 科研 > 学术报告
发表时间:2017-04-19 阅读次数:124次
报告题目: Invariants of the special orthogonal group and an enhanced Brauer category
报 告 人: Prof. Ruibin Zhang
报告人所在单位:University of Sydney
报告日期:2017-04-19 星期三
报告时间:16:00-17:00
报告地点:光华东主楼2001
  
报告摘要:

We define an enhanced Brauer category $\wt\CB(m)$ by adding a single generator to the usual Brauer category $\CB(m)$, together with four relations. We then prove that our category $\wt\CB(m)$ is actually equivalent to the category of representations of $\SO_m$ generated by the natural representation. The FFT for $\SO_m$ amounts to the surjectivity of a certain functor $\CF$ on $\Hom$ spaces, while the Second Fundamental Theorem for $\SO_m$ says simply that $\CF$ is injective on $\Hom$ spaces. This theorem provides a diagrammatic means of computing the dimensions of spaces of homomorphisms between tensor modules for $\SO_m$. This is joint work with Gus Lehrer.

海报

  
本年度学院报告总序号:57

Copyright © |2012 复旦大学数学科学学院版权所有 沪ICP备042465  

电话:+86(21)65642341 传真:+86(21)65646073