Categorification of the Fibonacci numbers using representations of quivers
Representation Theory
2011-07-13 v2 Combinatorics
Abstract
In a previous paper we have presented a partition formula for the even-index Fibonacci numbers using the preprojective representations of the 3-Kronecker quiver and its universal cover, the 3-regular star. Now we deal in a similar way with the odd-index Fibonacci numbers. The Fibonacci modules introduced here provide a convenient categorification of the Fibonacci numbers.
Keywords
Cite
@article{arxiv.1107.1858,
title = {Categorification of the Fibonacci numbers using representations of quivers},
author = {Philipp Fahr and Claus Michael Ringel},
journal= {arXiv preprint arXiv:1107.1858},
year = {2011}
}