A brief introduction to algebraic groups: their subgroup structure and representation theory

Add to your list(s) Download to your calendar using vCal

• Adam Thomas Imperial College London
• Friday 11 October 2013, 15:30-16:30
• CMS, MR3.

If you have a question about this talk, please contact Julian Brough.

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.

This talk is part of the Junior Algebra and Number Theory seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS, MR3
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• Junior Algebra and Number Theory seminar
• School of Physical Sciences
• bld31
• ndb35's list

Note that ex-directory lists are not shown.