Hugo Mathevet

collaborators

2 papers

math.CO2026

Quantizing Pythagorean triples

Hugo Mathevet, Sophie Morier-Genoud, Valentin Ovsienko

We introduce a $q$ -deformation of the Pythagoras equation $a^{2} + b^{2} = c^{2}$ , which is a polynomial version of it different from the standard one. We construct a polynomial analogue…

math.RA2025

Relative modality of elements in generalized Takiff Lie algebras

Hugo Mathevet

Given a natural number m and a Lie algebra g, the m th generalized Takiff Lie algebra of g is the Lie algebra gm\,:= g $\otimes$ C[T ]/T m+1 . For n $\geq$ m, we define the (m, n)-m…