Kac--Moody Fibonacci sequences

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Lisa A. Carbone, Pranav Shankar
DOI: 10.48550/arxiv.2601.00958
Cited by: 0

Abstract

We summarize known results on how to generate an infinite family of integer sequences from the root lattices of rank 2 Kac--Moody algebras. We compute and tabulate the first twenty entries of a number of these sequences. This provides an overarching framework for a large class of Fibonacci-type integer sequences, evaluations of Chebyshev S and U-polynomials and others.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Algebraic structures and combinatorial models semigroups and automata theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
2 January 2026
Document type
Preprint