Quantum integer-valued polynomials
Name
10801_2016_717_ReferencePDF.pdf
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310.78 KB
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Checksum (MD5)
274011cbf3fcf8958a9c790a936a377d
Author(s)
Harman, Nathan Reid
Hopkins, Sam
Date Issued
October 2016
Journal
Journal of Algebraic Combinatorics
Publisher
Springer US
Citation
Harman, Nate, and Sam Hopkins. “Quantum Integer-Valued Polynomials.” Journal of Algebraic Combinatorics 45, no. 2 (October 4, 2016): 601–628.
Version
Author's final manuscript
Abstract
We define a q-deformation of the classical ring of integer-valued polynomials which we call the ring of quantum integer-valued polynomials. We show that this ring has a remarkable combinatorial structure and enjoys many positivity properties: For instance, the structure constants for this ring with respect to its basis of q-binomial coefficient polynomials belong to N[q]. We then classify all maps from this ring into a field, extending a known classification in the classical case where q=1 .
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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/10.1007/s10801-016-0717-3
