Calendar

ICMT Seminar: "Hermitian Young symmetrizers and Jucys-Murphy elements."

Speaker Prof. Mike Stone, University of Illinois, Urbana Champaign
Date: 1/23/2017
Time: 12 p.m.
Location:

190 ESB

Sponsor:

Institute for Condensed Matter Physics

Event Type: Seminar/Symposium
 

Young tableaux and Young symmetrisers have many applications in physics -- ranging from the Bethe ansatz through bosonization and integrable systems to computing group-combinatorial factors in Feynman diagrams. The properties of these objects were  thoroughly explored by Young,  Frobenius, Schur  and Littlewood in the first half of the twentieth century.  It is therefore perhaps surpring that a number of  papers  with new results and algorithms  have  appeared recently on the archive (arXiv:1610.10088, arXiv:1610.08802, arXiv:1307.6147). In this talk I will describe  the history (some of it personal) and the  mathematics (suprisingly simple)  that lies behind the recent work. In particular I will describe the construction of  hermitian Young projectors from the  Jucys-Murphy elements of the algebra of the symmetric group.

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