TANUKI-CD

TANUKI-CD is a research program dedicated to the exploration and formal study of Cayley-Dickson algebras, including the mathematical theory surrounding them and practical algorithms used to compute their properties.

We are interested both in the classical algebras ℝ, ℂ, ℍ, and 𝕆, and especially in the higher-dimensional algebras beyond them. We study how algebraic structure changes as dimension grows, which properties persist throughout the tower, and what the asymptotic behavior of different invariants looks like as the dimension increases.

We are currently working on better understanding the algebraic and spectral structure of multiplication operators, determinant and characteristic-polynomial factorizations, the geometry of zero divisors and annihilators, and efficient algorithms for computations in higher Cayley–Dickson algebras.

If you have an idea or a question, please reach out to the project founder, Algebraity, to discuss. His information can be found on the About page.