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arXiv · 1107.1858

Categorification of the Fibonacci numbers using representations of quivers

Philipp Fahr·Claus Michael Ringel
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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.

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Philipp Fahr, Claus Michael Ringel. 2011-07-10. Categorification of the Fibonacci numbers using representations of quivers. https://arxiv.org/abs/1107.1858

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