Quantum integer-valued polynomials

DOI10.1007/s10801-016-0717-3zbMath1359.05139arXiv1601.06110OpenAlexW2949076555MaRDI QIDQ517363

Sam Hopkins, Nate Harman

Publication date: 23 March 2017

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06110

zbMATH Keywords

combinatorial identities\(q\)-binomial coefficientshift operatorLucas' theoreminteger-valued polynomials\(q\)-analogsquantum Frobenius mapquantum integers

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items

A universal Hochschild-Kostant-Rosenberg theorem, Stable centres of wreath products, Stability of the centers of group algebras of \(\mathrm{GL}_n(q)\)

Uses Software

• SageMath
• MathOverflow

Cites Work

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• q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series
• Divisibility - with visibility
• Representations of Coxeter groups and Hecke algebras
• Integer-Valued Polynomials
• Ideals in rings of integer valued polynomials.
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• Combinatorial reciprocity theorems