论文标题
如何超大$ \ \ mthfrak {gl}（\ infty）$
How to superize $\mathfrak{gl}(\infty)$
论文作者
论文摘要
彭科夫（Penkov）与合着者雅克（Penkov）雅典（Mathfrak）（\ infty）$。本文介绍了$ \ mathfrak {gl}（\ infty）$的完全不同类型的超级版本：这些是超级通用的超级超牙的超级甲壳虫，在每个矩阵的非零元素上，每个矩阵的非零元素都占据了围绕某些曲线的主角周围的一个区域，而不是一定的曲线。制定了与引入的谎言超甲虫的进一步研究以及将其应用于KDV等动力学系统的进一步研究有关的几个开放问题。
Penkov with co-authors stdied several types of Lie algebra $\mathfrak{gl}(\infty)$. Completely different new types of super versions of $\mathfrak{gl}(\infty)$ are introduced in this paper: these are Lie superalgebras of supermatrices infinite in all directions with non-zero elements of each matrix occupying a region around the main diagonal bounded by certain curves, not straight ligns. Several open questions related with further study of the Lie superalgebras introduced and with their possible applications to dynamical systems, such as KdV, are formulated.
