Categorification of the Fibonacci numbers using representations of quivers

Details Categorification of the Fibonacci numbers using representations of quivers Categorification of the Fibonacci numbers using representations of quivers

2011-07-10

arxiv.org/abs/1107.1858v2

Mathematics

Representation Theory

Scientific paper

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.

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