The Smith normal form of a matrix associated with Young’s lattice

Author(s)
Cai, Tommy Wuxing; Stanley, Richard P
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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.
Date issued
2015-06
URI
http://hdl.handle.net/1721.1/105203
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0002-9939
1088-6826
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