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arXiv · 2401.14644

Burt-Butler algebras of the bocs associated to a finite partially ordered set

R. Bautista·J. A. Jimenez Gonzalez
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Abstract

Given an algebra $A$ and an $A-A$-bimodule $U$ with co-algebra structure, a bocs, the algebras of endomorphisms of $A$ as left or right module of the bocs are known as Burt-Butler algebras (up to an appropriate opposite). Here we give a description of these algebras for the bocs associated to a finite partially ordered set in terms of incidence algebras and their balanced versions. We also exhibit their quasi-hereditary structure, provide bound quiver presentations for their Ringel duals, describe the embedding of $A$ as exact Borel subalgebra and characterize the corresponding subcategories of induced and co-induced modules.

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BibTeXRIS

R. Bautista, J. A. Jimenez Gonzalez. 2024-01-26. Burt-Butler algebras of the bocs associated to a finite partially ordered set. https://arxiv.org/abs/2401.14644

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