@article{SLC_2019-2021_80_a4,
author = {Soichi Okada},
title = {Generalized {Sylvester} {Formulas} and {Skew} {Giambelli} {Identities}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2019-2021},
volume = {80},
url = {http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a4/}
}
TY - JOUR
AU - Soichi Okada
TI - Generalized Sylvester Formulas and Skew Giambelli Identities
JO - Séminaire lotharingien de combinatoire
PY - 2019-2021
VL - 80
UR - http://geodesic.mathdoc.fr/item/SLC_2019-2021_80_a4/
ID - SLC_2019-2021_80_a4
ER -
We obtain a common generalization of two types of Sylvester formulas for compound determinants and its Pfaffian analogue. As applications, we give generalizations of the Giambelli identity to skew Schur functions and the Schur identity to Schur's skew Q-functions.