Non-Levi branching rules and Littelmann paths

par Dr Jacinta Torres (MPIM, Bonn)

jeudi 24 nov. 2016, 14:00 → 15:00 Europe/Paris

112 (bât. Braconnier)

In recent work with Schumann we have proven a conjecture of Naito-Sagaki giving a branching rule for the decomposition of the restriction of an irreducible representation of the special linear Lie algebra to the symplectic Lie algebra, therein embedded as the fixed-point set of the involution obtained by the folding of the corresponding Dyinkin diagram. This conjecture had been open for over ten years, and provides a new approach to branching rules for non-Levi subalgebras in terms of Littelmann paths. In this talk I will introduce the path model, explain the setting of the problem, our proof, and provide some examples of other non-Levi branching situations.