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$\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm sl}_{\bf 2}\textbf{)}$\,关于主不可分解模的直和分解

仝兆佳 胡乃红

仝兆佳, 胡乃红. $\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm sl}_{\bf 2}\textbf{)}$\,关于主不可分解模的直和分解[J]. 华东师范大学学报(自然科学版), 2012, (3): 71-84,96.
引用本文: 仝兆佳, 胡乃红. $\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm sl}_{\bf 2}\textbf{)}$\,关于主不可分解模的直和分解[J]. 华东师范大学学报(自然科学版), 2012, (3): 71-84,96.
TONG Zhao-jia, HU Nai-hong. Direct sum decomposition of $\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm s}{\bm l}_{\bf 2}\textbf{)}$ about principal indecomposable modules[J]. Journal of East China Normal University (Natural Sciences), 2012, (3): 71-84,96.
Citation: TONG Zhao-jia, HU Nai-hong. Direct sum decomposition of $\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm s}{\bm l}_{\bf 2}\textbf{)}$ about principal indecomposable modules[J]. Journal of East China Normal University (Natural Sciences), 2012, (3): 71-84,96.

$\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm sl}_{\bf 2}\textbf{)}$\,关于主不可分解模的直和分解

详细信息
  • 中图分类号: O152

Direct sum decomposition of $\overline{\emph{\textbf{U}}}_{{\bm r},{\bm s}}\textbf{(}{\bm s}{\bm l}_{\bf 2}\textbf{)}$ about principal indecomposable modules

  • 摘要: 描述了限制型双参数量子群\,$\overline{U}_{r,s}(sl_2)$\,的一类不可约模, 构造出\,$\overline{U}_{r,s}(sl_2)$\,所有的主不可分解模. 把\,Casimir\,元素的左乘作用看作\,$\overline{U}_{r,s}(sl_2)$\,到自身的线性变换, 得到了\,Casmir\,元素作用在\,$\overline{U}_{r,s}(sl_2)$\,上的极小多项式和\,$\overline{U}_{r,s}(sl_2)$\,本原幂等元的全部共轭类.
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出版历程
  • 收稿日期:  2011-09-01
  • 修回日期:  2011-12-01
  • 刊出日期:  2012-05-25

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