Symplectic tableaux, alternating sign matrices, and Weyl's denominator formula for sp(2n)
by
Angele Hamel
Wilfrid Laurier University, Waterloo, Canada
Coauthors: Ron King (University of Southampton, England)

A determinantal expansion due to Okada is used to derive both a deformation of Weyl's denominator formula for the Lie algebra sp(2n) of the symplectic group and a further generalisation involving a product of the deformed denominator with a deformation of flagged characters of sp(2n). In each case the relevant expansion is expressed in term of certain shifted sp(2n)-standard tableaux. It is then re-expressed, first in terms of monotone patterns and then in terms of alternating sign matrices.

Date received: November 3, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafn-26.