Preprojective Analogue of the Cone Construction
Benjamin Cooper, Joshua Sussan
TL;DR
This paper introduces a new algebraic cone construction inspired by preprojective algebras, providing a representation-theoretic framework that generalizes classical cone concepts in algebra.
Contribution
It presents a novel relative, representation-theoretic formulation of the cone construction, extending it to preprojective algebra contexts.
Findings
Develops a new algebraic cone construction framework.
Generalizes classical cone concepts to preprojective algebras.
Provides foundational tools for future algebraic and representation-theoretic research.
Abstract
We formulate a relative, representation theoretic, notion of the algebraic cone construction. This motivates a generalization of the cone corresponding to a preprojective algebra.
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