Categorification of the Fibonacci Numbers Using Representations of Quivers
Claus Michael Ringel
Department of Mathematics
Shanghai Jiao Tong University
P. R. China
King Abdulaziz University
P. O. Box 80200
In a previous paper we 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 tree. In this paper 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.
Full version: pdf,
(Concerned with sequences
Received May 26 2011;
revised version received October 17 2011; December 29 2011.
Published in Journal of Integer Sequences, December 29 2011.
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