Computational Algebra Seminar

Computational Algebra Seminar

Robert Wilson

University of Birmingham

Condensation Techniques - Part 2

Thursday 10th October, 3:05-4pm

Carslaw 360

I shall continue from where I left off last time. Particular topics I intend to cover in some detail are

  • peakword condensation and its uses to find submodule lattices (here we generalise from an idempotent e - satisfying vee = ve for all v in V - to a word w merely satisfying Vww = Vw),
  • direct condensation without writing down the permutations,
  • the trace equation and other methods of calculating character values directly from condensed modules.

    The talk will of necessity be rather more technical than the first one.

    If anyone who didn't get a copy of my notes wants one, please email me (wilson@maths.usyd.edu.au) specifying whether you want the LaTeX source or a hard copy.