On the center of a triangulated category
Henning Krause, Yu Ye
TL;DR
This paper explores the properties of the graded center in triangulated categories, providing examples from the representation theory of finite-dimensional algebras to illustrate its concepts.
Contribution
It analyzes fundamental properties of the graded center and computes specific examples within the context of finite-dimensional algebra representations.
Findings
Identified key properties of the graded center
Computed explicit examples in representation theory
Enhanced understanding of triangulated category structures
Abstract
We discuss some basic properties of the graded center of a triangulated category and compute examples arising in representation theory of finite dimensional algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology