3 papers
math.QA2025
A geometric realization of liftings of Cartan type
D. Bagio, G. A. GarcÃa, O. Márquez
We introduce a novel approach to compute liftings of bosonizations of Nichols algebras of diagonal braided vector spaces of Cartan type which replaces heavy computations with struc…
math.NA2025
A control-based spatial source reconstruction in fractional heat equations
Galina GarcÃa, JoaquÃn Vidal, Sebastián Zamorano
This article addresses the inverse source problem for a nonlocal heat equation involving the fractional Laplacian. The primary goal is to reconstruct the spatial component of the s…
math.QA2024
Liftings of Nichols algebras of type
Dirceu Bagio, G. A. GarcÃa, O. Márquez
We give an explicit presentation of a family of finite-dimensional pointed Hopf algebras over an algebraically closed field of characteristic zero that constitute all liftings of N…