The classification of (J, σ)-irreducible monoids of type A 4

The classification of (J, σ)-irreducible monoids of type A 4
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DOI:
10.1080/00927879808826342
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发表时间:
1998
影响因子:
0.7
通讯作者:
Zhuo Li
Zhuo Li
中科院分区:
数学3区
文献类型:
--
作者:
Zhuo Li

文献摘要

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本文发展了一种分类A4型(J,σ)-不可约幺半群的基本方法.作为一个典型的例子,我们列出了所有类型的monoid对应的强优势的重量。这个例子还表明,不存在像Putcha和Renner关于J-不可约幺半群的配方那样,根据它们的Dynkin图来确定约化幺半群的截面格的一般定理。
In this paper we develop a very basic method to classify (J, σ)-irreducible monoids of type A 4. As a typical example, we list all the types for the monoids corresponding to the strongly dominant weights. This example also shows that there is no general theorem to determine the cross-section lattices for reductive monoids according to their Dynkin diagrams as Putcha and Renner’s recipe for J-irreducible monoids.