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Ideals in Deligne's Rep(O_\delta) and representations of orthosymplectic supergroups

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Jonathan Comes (University of Oregon) - Oberseminar Darstellungstheorie

What
  • Oberseminar
When Dec 18, 2015
from 02:15 pm to 03:15 pm
Where Bonn, Raum 1.008, Mathematik-Zentrum, Endenicher Allee 60
Contact Name Sachindis
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Deligne defined a category Re⎯⎯⎯⎯⎯p(Oδ) that permits the simultaneous study of the tensor powers of the natural representations of the orthogonal/symplectic groups and the orthosymplectic supergroups. In this talk I will first give a definition of Deligne's category in terms of Brauer diagrams. Next, I will describe a classification of the indecomposable objects in Re⎯⎯⎯⎯⎯p(Oδ) via Young diagrams and their corresponding weight diagrams. I will then explain a recent classification of thick ideals in Re⎯⎯⎯⎯⎯p(Oδ), and the consequences of this classification in terms of representations of the orthosymplectic supergroups.