关联代数的真李自同构

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2021-08-09 DOI:10.1017/S0017089522000015

É. Fornaroli, M. Khrypchenko, E. A. Santulo

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引用次数: 4

摘要

设X是一个有限连通偏序集，K是一个域。我们研究了关联代数I（X，K）的所有李自同构何时是适当的问题。在对X的长度没有任何限制的情况下，我们只找到了X的极大链集上涉及某些等价关系的一个充分条件。对于一些长度为1的偏序集，如有限连通的无冠偏序集（即没有弱冠子集）、冠和两个反链的序和，我们给出了一个完整的答案。

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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Proper Lie automorphisms of incidence algebras

Abstract Let X be a finite connected poset and K a field. We study the question, when all Lie automorphisms of the incidence algebra I(X, K) are proper. Without any restriction on the length of X, we find only a sufficient condition involving certain equivalence relation on the set of maximal chains of X. For some classes of posets of length one, such as finite connected crownless posets (i.e., without weak crown subposets), crowns, and ordinal sums of two anti-chains, we give a complete answer.

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.