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勒纳德对与量子代数vq(Sl2)

刘军丽 徐秋丽 姜伟

数学杂志2020,Vol.40Issue(1):1-6,6.
数学杂志2020,Vol.40Issue(1):1-6,6.

勒纳德对与量子代数vq(Sl2)

LEONARD PAIRS CONSTRUCTED FROM THE QUANTUM ALGEBRA vq(sl2)

刘军丽 1徐秋丽 1姜伟1

作者信息

  • 1. 廊坊师范学院理学院,河北廊坊065000
  • 折叠

摘要

Abstract

In this paper,we study the construction of Leonard pairs.By using the finite dimensional irreducible representations of quantum algebra vq(sl2),we get Leonard pairs,and give the classification of Leonard pairs,which provide more help in studying Leonard triples.

关键词

勒纳德对/量子代数/既约表示/分裂基

Key words

Leonard pair/quantum algebra/irreducible representation/split basis

分类

数理科学

引用本文复制引用

刘军丽,徐秋丽,姜伟..勒纳德对与量子代数vq(Sl2)[J].数学杂志,2020,40(1):1-6,6.

基金项目

Supported by National Natural Science Foundation of China (11401282) (11401282)

NSF of Hebei Province (A2018408046) and Science Foundation for the Excellent Youth Scholars of Hebei Education Department (YQ2014018). (A2018408046)

数学杂志

OACSTPCD

0255-7797

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