فهرس المقالات Lie centralizer

• حرية الوصول المقاله
  • صفحة الملخص
  • نص كامل
  
  1 - Non-additive Lie centralizer of infinite strictly upper triangular matrices
  D. A. Aiat ‎Hadj
  ‎Let $\mathcal{F}$ be an field of zero characteristic and $N_{\infty‎}(‎\mathcal{F})$ be the algebra of infinite strictly upper triangular‎‎matrices with entries in $\mathcal{F}$‎, ‎and $f:N_{\infty}(\mathcal{F}‎)\rightarrow N_{\infty}(\m أکثر

  ‎Let $\mathcal{F}$ be an field of zero characteristic and $N_{\infty‎}(‎\mathcal{F})$ be the algebra of infinite strictly upper triangular‎‎matrices with entries in $\mathcal{F}$‎, ‎and $f:N_{\infty}(\mathcal{F}‎)\rightarrow N_{\infty}(\mathcal{F})$ be a non-additive Lie centralizer of $‎N_{\infty }(\mathcal{F})$; that is‎, ‎a map satisfying that $f([X,Y])=[f(X),Y]$‎‎for all $X,Y\in N_{\infty}(\mathcal{F})$‎. ‎We prove that $f(X)=\lambda X$‎,‎where $\lambda \in \mathcal{F}$‎. تفاصيل المقالة