D-dimensional spin projection operators for arbitrary type of symmetry via Brauer algebra idempotents

Seminars

Seminar “Modern Mathematical Physics”

Date and Time: Tuesday, 9 June 2020, at 1:00 PM

Venue: Online conference on Zoom, Bogoliubov Laboratory of Theoretical Physics

Seminar topic: «D-dimensional spin projection operators for arbitrary type of symmetry via Brauer algebra idempotents»

Speaker: Mikhail Podoinicin

Abstract:

A new class of representations of Brauer algebra which centralizes the action of orthogonal and symplectic groups in tensor spaces was found. These representations makes it possible to apply the technique of constructing the primitive orthogonal idempotents of the Brauer algebra to the description of Behrends-Fronsdal type projectors of arbitrary type of symmetries.