Decompositions of tensor products: Highest weight vectors from branching

Joanna Meinel (Federal Office for Information Security, Bonn)

14-Dec-2021, 07:30-08:30 (2 years ago)

Abstract: We consider tensor powers of the natural sl_n-representation, and we look for descriptions of highest weight vectors therein: We discuss explicit formulas for n=2, a recursion for n=3, and for bigger n we demonstrate how Jucys-Murphy elements allow us to compute highest weight vectors (both in theory and in practice using sage). This is joint work with Pablo Zadunaisky.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic


OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.

Organizer: Liron Speyer*
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