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Document Details
Document Type
:
Article In Journal
Document Title
:
Categorification of the Fibonacci numbers using representations of quivers
Categorification of the Fibonacci numbers using representations of quivers
Subject
:
Mathematics
Document Language
:
English
Abstract
:
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.
ISSN
:
1530-7638
Journal Name
:
Journal of Integer Sequences
Volume
:
15
Issue Number
:
2
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Sunday, February 26, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
Philipp Fahr
Fahr, Philipp
Researcher
Doctorate
philfahr@gmx.net
Claus Michael Ringel
Ringel, Claus Michael
Researcher
Doctorate
ringel@math.uni-bielefeld.de
Files
File Name
Type
Description
32448.pdf
pdf
Abstract
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