Algebra Seminar: Lehrer -- The second fundamental theorem of invariant theory for the orthogonal group

The Algebra Seminar on Friday 25 March will be given by Gus Lehrer.


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Speaker: Gus Lehrer (University of Sydney)

Date: Friday 25 March

Time: 12.05-12.55pm

Venue: Carslaw 175

Title:

The second fundamental theorem of invariant theory for the orthogonal group

Abstract:

I shall explain how the commutant of the classical orthogonal group action on
tensor space has a presentation which is obtained from the Brauer algebra by
adding one single idempotent relation, which will be explicitly described. This
solves a 74 year old mystery. Applications will be given via cellular theory to
multiplicity theory in characacteristics other than zero, and to the quantum case
at roots of unity. This is joint work with Ruibin Zhang.
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