Thuses

Math discussions

  • login
  • register
  • write a post
  • about
  • FAQ
  • support Thuses
  • updates
Tag: finite groups

The Steinberg Representation

In this post I want to describe a remarkable representation associated to finite groups of Lie type. For this, let \(G\) be a connected reductive group over a finite field \(k\) with \(q = p^r\) elements, and let \(U\) be the unipotent radical of some Borel \(k\)-subgroup \(B\) of \(G\). Steinberg constructed an irreducible representation \(\mathrm{St}\) of \(G(k)\) of …

△
5
▽
Views: 281
Posted by Sean CotnerMarch 27, 2021Posted in group theoryLeave a comment on The Steinberg Representation