BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Representation theory of diagram algebras - Oliver King\, Leeds Un
 iversity
DTSTART:20141022T153000Z
DTEND:20141022T163000Z
UID:TALK55412@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:A diagram algebra is an algebra whose elements can be represen
 ted as linear combinations of diagrams. There are several common features 
 of such algebras\, allowing us to use similar methods in analysing their r
 epresentation theory and obtaining similar results. In this talk I will fo
 cus on the Brauer and partition algebras\, introduced by Brauer and Martin
  respectively. The representation theory of both of these over a field of 
 characteristic zero is well understood. I will recall the definitions and 
 give the block structure of both algebras in characteristic zero in terms 
 of the action of a reflection group on the set of simple modules. I will t
 hen give a description of the blocks in positive characteristic by using t
 he corresponding affine reflection group (for the partition algebra\, this
  is joint work with C. Bowman and M. De Visscher). Finally I will show tha
 t by restricting our attention to specific families of these algebras\, we
  can in fact obtain the entire decomposition matrix.\n
LOCATION:MR12
END:VEVENT
END:VCALENDAR