AS-regular algebras from acyclic spherical helices
Shinnosuke Okawa, Kazushi Ueda
TL;DR
This paper introduces a method to construct AS-regular algebras using acyclic spherical helices, extending previous foundational work by Bondal, Polishchuk, and Van den Bergh.
Contribution
It generalizes existing constructions of AS-regular algebras through the novel use of acyclic spherical helices.
Findings
New construction method for AS-regular algebras
Extension of previous algebraic frameworks
Potential applications in noncommutative geometry
Abstract
We discuss a construction of AS-regular algebras from acyclic spherical helices, generalizing works of Bondal and Polishchuk [BP93] and Van den Bergh [VdB11].
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research