SMS scnews item created by Anthony Henderson at Fri 16 May 2008 1923
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
Cauchy identity for double Schur functions and its applications
23th May, 12:05-12:55pm, Carslaw 373
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.