The algebra of invariants of a complete path algebra
Samuel Quirino
TL;DR
This paper proves that the algebra of invariants of a complete path algebra under certain automorphisms remains a complete path algebra and retains its finite or tame representation type.
Contribution
It establishes that the invariants form a complete path algebra and preserves representation type under group actions.
Findings
Invariants form a complete path algebra.
Representation type is preserved.
Automorphism group action maintains algebra structure.
Abstract
We prove that the algebra of invariants of a complete path algebra under the action of a homogeneous group of continuous algebra automorphisms is a complete path algebra and preserves finite or tame representation type.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory