This week's seminars
Pure Maths Colloquium: Dimensions of irreducible super Lie modules
12 November 2018 16:00 in CM219
The finite dimensional representation theory of the classical Lie algebras is understood by H. Weyl's beautiful theory. In contrast, the representation theory of super Lie algebras still comprises miracles, due to the representation categories being not semisimple. As such representations arise naturally in conformal field theories, they are more than pathologies. In this talk we give an introduction to super Lie algebras and their representations. Restricting to the general super Lie algebra gl(n|n), we report the state of art and give new results for n=3 and 4. This is joint work with R. Weissauer.
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