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Highest weight vectors and transmutation

Rudolf Tange
(Leeds University)
Seminar
Onsdag, 20 maj, 2015, at 16:15-17:15, in Aud. D3 (1531-215)
Abstrakt:
I will consider the problem of finding good bases for the highest weight vectors for the polynomial functions on nxn matrices under the conjugation action in any characteristic.
First we reduce this to finding good bases for the highest weight vectors for the polynomial functions on the nilpotent cone. Then we pass via “transmutation” to tuples of matrices. This leads to several interesting open problems.
In particular, I will also mention how to extend results to the exterior algebra of the nxn matrices in characteristic 0.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen