Derived tame local and two-point algebras
Viktor Bekkert, Yuriy Drozd, and Vyacheslav Futorny
TL;DR
This paper classifies the derived representation types of certain local and two-point algebras over algebraically closed fields, providing a comprehensive understanding of their derived categories.
Contribution
It offers a complete determination of the derived representation type for complete finitely generated local and two-point algebras, a new classification in the field.
Findings
Derived representation types are classified for local algebras.
Derived representation types are classified for two-point algebras.
Provides a complete classification over algebraically closed fields.
Abstract
We determine derived representation type of complete finitely generated local and two-point algebras over an algebraically closed field.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons