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Hook–Schur Functions Analogues of Littlewood's Identities and their Bijective Proofs

✍ Scribed by M. Yang; J.B. Remmel

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 233 KB
Volume: 19
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1997.0173

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✦ Synopsis

We give bijective proofs of the Hook-Schur function analogues of two well-known identities of Littlewood. In the course of our proof, we propose a new correspondence which can be considered as a generalization of the Burge correspondences used in proving the Littlewood identities.