单体、动力学和勒维路径代数

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-30 DOI:arxiv-2409.00289

Gene Abrams, Roozbeh Hazrat

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引用次数: 0

摘要

利维特路径代数是与有向图相关联的代数，大约在 20 年前首次被提出。它们与符号动力学、算子代数、非交换几何、表示理论，甚至芯片烧制等课题都有密切联系。在这篇文章中，我们将邀请读者窥探这些迷人的代数，以及它们与数学中多个看似互不相关的部分之间的相互作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Monoids, dynamics and Leavitt path algebras

Leavitt path algebras, which are algebras associated to directed graphs, were first introduced about 20 years ago. They have strong connections to such topics as symbolic dynamics, operator algebras, non-commutative geometry, representation theory, and even chip firing. In this article we invite the reader to sneak a peek at these fascinating algebras and their interplay with several seemingly disparate parts of mathematics.

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arXiv - MATH - Rings and Algebras

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