的意外循环对称 $I{\mathfrak u}_n$

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2023-03-16 DOI:10.1007/s12188-023-00266-w

Dror Bar-Natan, Roland van der Veen

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引用次数: 1

摘要

我们发现并讨论了李代数（I｛\mathfrak u｝_n｛：｝｛＝｝｛\ mathfrak u｝-n<；imes｛\math frak u}_n^*\）的自同构的n阶循环群，其中\（｛\mashfrak u}_n\）是上三角矩阵的李代数。我们的结果也推广到\（\mathfrak{gl}_｛n+｝^\epsilon\），\（\mathfrak）的“可解近似”{gl}_n\)，如中所定义。

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$An Unexpected Cyclic Symmetry of $I{\mathfrak u}_n$$

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An Unexpected Cyclic Symmetry of $I{\mathfrak u}_n$

We find and discuss an unexpected (to us) order n cyclic group of automorphisms of the Lie algebra $I{\mathfrak u}_n{:}{=}{\mathfrak u}_n < imes {\mathfrak u}_n^*$, where ${\mathfrak u}_n$ is the Lie algebra of upper triangular $n\times n$ matrices. Our results also extend to $\mathfrak {gl}_{n+}^\epsilon $, a “solvable approximation” of $\mathfrak {gl}_n$, as defined within.

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.

的意外循环对称 \(I{\mathfrak u}_n\)

摘要