![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Friday 11 October 2013, 15:30-16:30
A brief introduction to algebraic groups: their subgroup structure and representation theory
- 👤 Speaker: Adam Thomas Imperial College London
- 📅 Date & Time: Friday 11 October 2013, 15:30 - 16:30
- 📍 Venue: CMS, MR3
Abstract
We will briefly describe the basics of algebraic group theory, when studied over algebraically closed fields. We will survey some important results concerning their subgroup structure, including Liebeck-Seitz’s Theorem on maximal subgroups of the exceptional algebraic groups in positive characteristic. The representation theory of algebraic groups is particularly nice and we will show how all irreducible modules can be described using Steinberg’s Tensor Product Theorem. The motivation behind this is to be able to talk about $G$-irreducible subgroups of exceptional algebraic groups and in particular the speaker’s recent work on them. Time permitting, some of these results will be discussed and the background of the problem.
Series This talk is part of the Junior Algebra and Number Theory seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- CMS, MR3
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- Junior Algebra and Number Theory seminar
- ndb35's list
- School of Physical Sciences
Note: Ex-directory lists are not shown.