The Smith normal form of a matrix associated with Young’s lattice
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Stanley_The smith normal.pdf
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184.69 KB
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Author(s)
Cai, Tommy Wuxing
Stanley, Richard P
Date Issued
June 2015
Journal
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Cai, Tommy Wuxing, and Richard P. Stanley. “The Smith Normal Form of a Matrix Associated with Young’s Lattice.” Proceedings of the American Mathematical Society 143.11 (2015): 4695–4703.© 2015 American Mathematical Society
Version
Final published version
Abstract
We prove a conjecture of Miller and Reiner on the Smith normal form of the operator DU associated with a differential poset for the special case of Young's lattice. Equivalently, this operator can be described as [∂ over ∂p1]p1 acting on homogeneous symmetric functions of degree n.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/proc/12642
