Parking spaces |
| |
| Authors: | Drew Armstrong Victor Reiner Brendon Rhoades |
| |
| Institution: | 1. Dept. of Mathematics, University of Miami, Coral Gables, FL 33146, United States;2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States;3. Dept. of Mathematics, University of California, San Diego, La Jolla, CA 92093, United States |
| |
| Abstract: | Let W be a Weyl group with root lattice Q and Coxeter number h . The elements of the finite torus Q/(h+1)Q are called the W-parking functions, and we call the permutation representation of W on the set of W-parking functions the (standard) W-parking space. Parking spaces have interesting connections to enumerative combinatorics, diagonal harmonics, and rational Cherednik algebras. In this paper we define two new W-parking spaces, called the noncrossing parking space and the algebraic parking space, with the following features:- •
- They are defined more generally for real reflection groups.
|
| |
| Keywords: | Parking function Coxeter group Reflection group Noncrossing Nonnesting Catalan Kirkman Narayana Cyclic sieving Absolute order Rational Cherednik algebra |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
