On bricks of one-point extension algebras

2026/08/01 by Qi Wang
Mathematics · #math.RT

paper · pdf

38 pages. Comments are welcome

arxiv created 2026/08/01 · arxiv updated 2026/08/04

Abstract

Let Λ=B[E] be the one-point extension algebra of B by the extension module E. Using the standard triple description of Λ-modules, we characterize mixed bricks through an injectivity condition and a scalar-stabilizer condition. Under the assumption that B is E-visible finite, we interpret mixed bricks as orbits in Grassmannians and derive a necessary and sufficient criterion for the brick-finiteness of Λ.

Citations

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