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ID 62801
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Author
Nishiyama, Yuta Graduate School of Science and Technology, Kumamoto University
Abstract
In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions.
Keywords
Macdonald polynomials
Young diagram
bijective proof
Note
Mathematics Subject Classi cation. Primary 05E05; Secondary 05A19.
Published Date
2022-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume64
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
153
End Page
186
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
English
Copyright Holders
Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol64/iss1/10