Smooth geometry of bi-quadratic algebras on three generators with PBW basis
Andr\'es Rubiano, Armando Reyes
TL;DR
This paper explores the differential smoothness properties of bi-quadratic algebras generated by three elements that possess a PBW basis, contributing to the understanding of their geometric structure.
Contribution
It provides a detailed analysis of the differential smoothness of a specific class of bi-quadratic algebras with PBW basis, which was not previously studied.
Findings
Identified conditions for differential smoothness in these algebras
Established new links between algebraic structure and geometric properties
Extended understanding of noncommutative geometric frameworks
Abstract
In this paper, we investigate the differential smoothness of bi-quadratic algebras on three generators with PBW basis.
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Taxonomy
TopicsAdvanced Topics in Algebra · Polynomial and algebraic computation · Matrix Theory and Algorithms