Type: Seminar

Distribution: World

Expiry: 23 May 2008

CalTitle1: Algebra Seminar: Molev -- Cauchy identity for double Schur functions and its applications

Auth: anthonyh@asti.maths.usyd.edu.au

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. |