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ON GRADED SYMMETRIC CELLULAR ALGEBRAS
Journal of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2019-07-29 , DOI: 10.1017/s1446788719000223 YANBO LI , DEKE ZHAO
Journal of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2019-07-29 , DOI: 10.1017/s1446788719000223 YANBO LI , DEKE ZHAO
Let $A=\bigoplus _{i\in \mathbb{Z}}A_{i}$ be a finite-dimensional graded symmetric cellular algebra with a homogeneous symmetrizing trace of degree $d$ . We prove that if $d\neq 0$ then $A_{-d}$ contains the Higman ideal $H(A)$ and $\dim H(A)\leq \dim A_{0}$ , and provide a semisimplicity criterion for $A$ in terms of the centralizer of $A_{0}$ .
中文翻译:
分级对称细胞代数
让$A=\bigoplus _{i\in \mathbb{Z}}A_{i}$ 是具有齐次对称迹的有限维分级对称元胞代数$d$ . 我们证明如果$d\neq 0$ 然后$A_{-d}$ 包含希格曼理想$H(A)$ 和$\dim H(A)\leq \dim A_{0}$ ,并为$澳元 就集中器而言$A_{0}$ .
更新日期:2019-07-29
中文翻译:
分级对称细胞代数
让