Finite-dimensional real unital associative algebras are linked to pseudo-Finsler norms through integral transforms from trace forms, allowing Hamiltonian formalism and Cuntz-Quillen towers to produce catastrophe-based invariants.
Journal of Mathematics and Mechanics, 12:777-792
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The catastrophes of algebras
Finite-dimensional real unital associative algebras are linked to pseudo-Finsler norms through integral transforms from trace forms, allowing Hamiltonian formalism and Cuntz-Quillen towers to produce catastrophe-based invariants.