This material has been published in
J. Combin. Theory
Ser. A 77
the only definitive repository of the content that has been
certified and accepted after peer review. Copyright and all rights therein
are retained by Elsevier B.V.
This material may not be copied or reposted
without explicit permission.
Markus Fulmek and Christian Krattenthaler
Lattice path proofs for determinant formulas for symplectic
and orthogonal characters
We give bijective proofs for Jacobi-Trudi-type and Giambelli-type
identities for symplectic and orthogonal characters. These proofs
base on interpreting King and El-Sharkaway's symplectic tableaux, Proctor's odd
and intermediate symplectic tableaux, Proctor's and King and Welsh's
orthogonal tableaux, and Sundaram's odd orthogonal tableaux
in terms of certain families of nonintersecting
lattice paths. This work is intended to be the counterpart of the
proof of the Jacobi-Trudi identities for Schur
functions for the case of symplectic and orthogonal characters.
The following versions are available:
Back to Christian Krattenthaler's