Invariant theory of $\imath $quantum groups of type AIII

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Letters in Mathematical Physics Pub Date : 2024-03-18 DOI:10.1007/s11005-024-01790-3

Li Luo, Zheming Xu

引用次数: 0

Abstract

We develop an invariant theory of quasi-split $\imath $quantum groups ${\textbf {U}} _n^\imath $ of type AIII on a tensor space associated to $\imath $Howe dualities. The first and second fundamental theorems for ${\textbf {U}} _n^\imath $-invariants are derived.

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AIII 型 $$\imath $$ 量子群的不变理论

Abstract 我们在与$\imath $ Howe dualities相关联的张量空间上发展了AIII型准分裂${\textbf {U}} _n^\imath $量子群的${\textbf {U}} _n^\imath $不变量理论。推导出了（{textbf {U}} _n^\imath \）不变量的第一和第二基本定理。

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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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.

Invariant theory of \(\imath \)quantum groups of type AIII

Abstract