Quantum integer-valued polynomials
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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US,
2017-02-03T21:15:53Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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 . National Science Foundation (U.S.). Graduate Research Fellowship Program (Grant No. 1122374) |
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