Differential smoothness of bi-quadratic algebras with PBW basis
Andr\'es Rubiano, Armando Reyes
TL;DR
This paper studies the differential smoothness property of bi-quadratic algebras that possess a Poincaré-Birkhoff-Witt basis, aiming to understand their geometric and algebraic structure.
Contribution
It provides new insights into the differential smoothness of bi-quadratic algebras with PBW basis, expanding the understanding of their geometric properties.
Findings
Identified conditions for differential smoothness in bi-quadratic PBW algebras
Established links between algebraic structure and geometric smoothness
Extended previous results to a broader class of algebras
Abstract
We investigate the differential smoothness of bi-quadratic algebras with PBW basis.
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Taxonomy
TopicsAdvanced Topics in Algebra · Functional Equations Stability Results · Polynomial and algebraic computation