The Negative $q$-Binomial

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

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.

Published
2012-02-07
How to Cite
Fu, S., Reiner, V., Stanton, D., & Thiem, N. (2012). The Negative $q$-Binomial. The Electronic Journal of Combinatorics, 19(1), P36. https://doi.org/10.37236/2040
Article Number
P36