The negative q-binomial

Shishuo Fu; V. Reiner; Dennis Stanton; Nathaniel Thiem

doi:10.37236/2040

The negative q-binomial

Shishuo Fu, V. Reiner, Dennis Stanton, Nathaniel Thiem

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Interpretations for the q-binomial coefficient evaluated at -q are discussed. A (q; t)-version is established, including an instance of a cyclic sieving phenomenon involving unitary spaces.

Original language	English (US)
Journal	Electronic Journal of Combinatorics
Volume	19
DOIs	https://doi.org/10.37236/2040
State	Published - 2012

Keywords

(q,t)-binomial
Characteristic map
Cyclic sieving phenomenon
Ennola duality
Gaussian polynomial
Invariant theory
Q-binomial
Unitary group
Unitary space

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10.37236/2040

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title = "The negative q-binomial",

abstract = "Interpretations for the q-binomial coefficient evaluated at -q are discussed. A (q; t)-version is established, including an instance of a cyclic sieving phenomenon involving unitary spaces.",

keywords = "(q,t)-binomial, Characteristic map, Cyclic sieving phenomenon, Ennola duality, Gaussian polynomial, Invariant theory, Q-binomial, Unitary group, Unitary space",

author = "Shishuo Fu and V. Reiner and Dennis Stanton and Nathaniel Thiem",

year = "2012",

doi = "10.37236/2040",

language = "English (US)",

volume = "19",

journal = "Electronic Journal of Combinatorics",

issn = "1077-8926",

publisher = "Electronic Journal of Combinatorics",

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TY - JOUR

T1 - The negative q-binomial

AU - Fu, Shishuo

AU - Reiner, V.

AU - Stanton, Dennis

AU - Thiem, Nathaniel

PY - 2012

Y1 - 2012

N2 - Interpretations for the q-binomial coefficient evaluated at -q are discussed. A (q; t)-version is established, including an instance of a cyclic sieving phenomenon involving unitary spaces.

AB - Interpretations for the q-binomial coefficient evaluated at -q are discussed. A (q; t)-version is established, including an instance of a cyclic sieving phenomenon involving unitary spaces.

KW - (q,t)-binomial

KW - Characteristic map

KW - Cyclic sieving phenomenon

KW - Ennola duality

KW - Gaussian polynomial

KW - Invariant theory

KW - Q-binomial

KW - Unitary group

KW - Unitary space

UR - https://www.scopus.com/pages/publications/84857013980

UR - https://www.scopus.com/inward/citedby.url?scp=84857013980&partnerID=8YFLogxK

U2 - 10.37236/2040

DO - 10.37236/2040

M3 - Article

AN - SCOPUS:84857013980

SN - 1077-8926

VL - 19

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

ER -

The negative q-binomial

Abstract

Keywords

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