Kac--Moody Fibonacci sequences
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914231012556800 |
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| author | Carbone, Lisa Shankar, Pranav |
| author_facet | Carbone, Lisa Shankar, Pranav |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00958 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kac--Moody Fibonacci sequences Carbone, Lisa Shankar, Pranav Number Theory Combinatorics Quantum Algebra Representation Theory 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. |
| title | Kac--Moody Fibonacci sequences |
| topic | Number Theory Combinatorics Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2601.00958 |