Finite Young wall model for representations of $$\imath $$ quantum group $${\textbf{U}}^{\jmath }$$

IF 0.6 3区数学 Q3 MATHEMATICS Journal of Algebraic Combinatorics Pub Date : 2024-02-08 DOI:10.1007/s10801-023-01292-w

Shaolong Han

引用次数: 0

Abstract

We construct a finite Young wall model for a certain irreducible module over $\imath $quantum group ${\textbf{U}}^{\jmath }$. Moreover, we show that this irreducible module is a highest weight module and is determined by a crystal structure on the set of finite Young walls.

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$$\imath $$ 量子群 $${textbf{U}}^{\jmath }$$ 代表的有限杨墙模型

我们为量子群 \({\textbf{U}}^{\jmath }\ 上的某个不可还原模块构造了有限杨墙模型。此外，我们还证明了这个不可还原模块是一个最高权重模块，并且是由有限杨墙集合上的晶体结构决定的。

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来源期刊

Journal of Algebraic Combinatorics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Algebraic Combinatorics provides a single forum for papers on algebraic combinatorics which, at present, are distributed throughout a number of journals. Within the last decade or so, algebraic combinatorics has evolved into a mature, established and identifiable area of mathematics. Research contributions in the field are increasingly seen to have substantial links with other areas of mathematics. The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems.

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