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CATEGORIES:Groups St Andrews 2017
SUMMARY:Representations and subgroup structure of simple a
lgebraic groups - Donna Testerman\, EPFL
DTSTART:20170810T100000Z
DTEND:20170810T110000Z
UID:TALK2730AT
URL:/talk/index/2730
DESCRIPTION:Building on the fundamental work of Dynkin for the
complex semisimple Lie algebras\, numerous mathem
aticians have studied the restrictions of irreduci
ble representations of simple algebraic groups to
closed subgroups. We will give an overview of the
work carried out since 1985\, starting with Seitz'
s major contribution in the late 80s. In particula
r\, this work illustrates the connection between t
he study of such restrictions and the determinatio
n of the maximal closed connected subgroups of the
classical type algebraic groups.\n\nWe describe t
he classification of the irreducible actions of al
l maximal positive-dimensional closed subgroups of
simple algebraic groups and highlight some intere
sting branching rules for non irreducible actions.
This includes work of Burness\, Ford\, Ghandour\,
Marion and Cavallin.
LOCATION:Poynting Physics\, Large Lecture Theatre
CONTACT:David Craven
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