CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Determinantal forms for symplectic and orthogonal Schur functions

  Published:1997-04-01
 Printed: Apr 1997
  • A. M. Hamel
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Symplectic and orthogonal Schur functions can be defined combinatorially in a manner similar to the classical Schur functions. This paper demonstrates that they can also be expressed as determinants. These determinants are generated using planar decompositions of tableaux into strips and the equivalence of these determinants to symplectic or orthogonal Schur functions is established by Gessel-Viennot lattice path techniques. Results for rational (also called {\it composite}) Schur functions are also obtained.
MSC Classifications: 05E05, 05E10, 20C33 show english descriptions Symmetric functions and generalizations
Combinatorial aspects of representation theory [See also 20C30]
Representations of finite groups of Lie type
05E05 - Symmetric functions and generalizations
05E10 - Combinatorial aspects of representation theory [See also 20C30]
20C33 - Representations of finite groups of Lie type
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/