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Irreducible tensor products of representations of symmetric and related groups

Lucia Morotti (Leibniz University Hannover)
Mathematics seminar
Mandag, 17 maj, 2021, at 13:00-14:00, Via Zoom

Let $V$ and $W$ be two irreducible representations of a group $G$. If $V$ or $W$ is 1-dimensional then the tensor product representation $V\otimes W$ is always irreducible. On the other hand, if neither $V$ nor $W$ is 1-dimensional, then there are still cases where $V\otimes W$ is irreducible but in general $V\otimes W$ is not irreducible.

In this talk I will present a classification of irreducible tensor products of representations of symmetric and alternating groups and their double covers and show applications to the classification of maximal subgroups of finite groups.

Kontaktperson: Marcel Bökstedt, for Zoom details.