Combinatorics of Fourier transforms for type A quiver representations
Representation Theory
2018-07-27 v1 Combinatorics
Abstract
We describe two new combinatorial algorithms (using the language of "triangular arrays") for computing the Fourier transforms of simple perverse sheaves on the moduli space of representations of an equioriented quiver of type A. (A rather different solution to this problem was previously obtained by Knight-Zelevinsky.) Along the way, we also show that the closure partial order and the dimensions of orbits have especially concise descriptions in the language of triangular arrays.
Cite
@article{arxiv.1807.10217,
title = {Combinatorics of Fourier transforms for type A quiver representations},
author = {Pramod N. Achar and Maitreyee C. Kulkarni and Jacob P. Matherne},
journal= {arXiv preprint arXiv:1807.10217},
year = {2018}
}
Comments
24 pages, 2 figures