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Categorification of the Fibonacci numbers using representations of quivers

Published 10 Jul 2011 in math.RT and math.CO | (1107.1858v2)

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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