LATTICE PATHS AND A SERGEEV-PRAGACZ FORMULA FOR SKEW SUPERSYMMETRIC FUNCTIONS

Authors
HAMEL AM GOULDEN IP
Citation
Am. Hamel et Ip. Goulden, LATTICE PATHS AND A SERGEEV-PRAGACZ FORMULA FOR SKEW SUPERSYMMETRIC FUNCTIONS, Canadian journal of mathematics, 47(2), 1995, pp. 364-382
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
47
Issue
2
Year of publication
1995
Pages
364 - 382
Database
ISI
SICI code
0008-414X(1995)47:2<364:LPAASF>2.0.ZU;2-9
Abstract
We obtain a new version of the Sergeev-Pragacz formula for supersymmet ric functions of standard shape-one applicable to arbitrary skew shape . The result involves an antisymmetrized sum of determinants that are themselves flagged supersymmetric functions. The proof is combinatoria l, and follows by means of lattice path transformations.