Séminaire Lotharingien de Combinatoire, B80e (2021), 17 pp.

Soichi Okada

Generalized Sylvester Formulas and Skew Giambelli Identities

Abstract. 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.

Received: April 14, 2017. Accepted: May 17, 2021. Final Version: May 18, 2021.

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