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arXiv · 2509.17826

Recurrence relations over division algebras

Adam Chapman·Solomon Vishkautsan
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Abstract

We generalize the solution of linear recurrence relations from fields to central division algebras, adapting the standard tools of companion matrices and characteristic polynomials to the non-commutative setting. We then solve linear recurrences of order 2 over octonion division algebras.

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Adam Chapman, Solomon Vishkautsan. 2026-09-01. Recurrence relations over division algebras. https://arxiv.org/abs/2509.17826

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