DETERMINANTAL FORMS FOR SYMPLECTIC AND ORTHOGONAL SCHUR-FUNCTIONS

Authors
HAMEL AM
Citation
Am. Hamel, DETERMINANTAL FORMS FOR SYMPLECTIC AND ORTHOGONAL SCHUR-FUNCTIONS, Canadian journal of mathematics, 49(2), 1997, pp. 263-282
Citations number
29
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
49
Issue
2
Year of publication
1997
Pages
263 - 282
Database
ISI
SICI code
0008-414X(1997)49:2<263:DFFSAO>2.0.ZU;2-A
Abstract
Symplectic and orthogonal Schur functions can be defined combinatorial ly in a manner similar to the classical Schur functions. This paper de monstrates that they can also be expressed as determinants. These dete rminants are generated using planar decompositions of tableaux into st rips and the equivalence of these determinants to symplectic or orthog onal Schur functions is established by Gessel-Viennot lattice path tec hniques. Results for rational (also called composite) Schur functions are also obtained.