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Seminar of the session "Lie Theory and Representation Theory"

seminar: "Distinguished unipotent elements and multiplicity free subgroups" Seminar of the session "Lie Theory and Representation Theory" (2015)

speaker: Donna Testerman (École Polytechnique Fédérale de Lausanne)

abstract: Let G be a simple algebraic group of rank at least 2 defined over an algebraically closed field of characteristic 0 and let f be an irreducible representation of G whose image lies in SL(V), Sp(V) or SO(V). We consider two closely related problems, first the problem of determining those representations for which distinguished unipotent elements of G are sent to distinguished elements of the classical group on V. Also we settle a base case of the general problem of determining when the restriction of f to a simple subgroup of G is multiplicity-free. This is joint work with Martin Liebeck and Gary Seitz

timetable:
Fri 23 Jan, 14:00 - 14:45, Aula Dini
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