SMS scnews item created by Anthony Henderson at Fri 16 May 2008 1923
Type: Seminar
Distribution: World
Expiry: 23 May 2008
Calendar1: 23 May 2008 1205-1255
CalLoc1: Carslaw 373
CalTitle1: Algebra Seminar: Molev -- Cauchy identity for double Schur functions and its applications
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Cauchy identity for double Schur functions and its applications

Alex Molev

23th May, 12:05-12:55pm, Carslaw 373


Abstract

The double (or factorial) analogues of the Schur functions turned out to have useful applications in the geometry of Grassmannians and in representation theory. We establish new properties of these functions by proving an analogue of the Cauchy identity. This leads to a construction of natural bases of the ring of double symmetric functions and to formulas for the irreducible characters of the symmetric group.


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