The Smith normal form of a matrix associated with Young's lattice
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Mathematical Society (AMS),
2016-11-04T18:16:23Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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. National Science Foundation (U.S.). (Grant DMS-1068625) |
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