与广义Cartan K型李代数有关的一类无限维李代数

本文主要引入了一类与广义Cartan K型李代数有关的无限维李代数,并讨论了 它的单性及任两个这类李代数的同构问题.     

实Banach代数的表示

本文研究了对任意厄米实Banach*-代数的表示理论进行系统研究. 利用对该类代数所定义的一般态空间展开讨论. 获得了该类代数上可表示泛函的一系列好的性质,进而给出了不可约表示的等价刻画.这些结果将Naimark、Gaur等人的工作进行了推广.     

无限秩仿射李代数的cartan子代数的共轭性

本文给出了无限秩仿射李代数的某种类型的Cartan子代数的定义,并证明了这种Cartan子代数在无限秩仿射李代数的某种类型的自同构下的共轭性.     

POLYNOMIAL REPRESENTATIONS OF THE h AFFINE NAPPI-WITTEN LIE ALGEBRA H4

In this paper,the representation theory for the affine Lie algebra H4 associated to the Nappi-Witten Lie algebra H4 is studied.Polynomial representations of the affine Nappi-Witten Lie algebra H4 are given.     

CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRA sl(2/1)

We give a complete classification of infinite dimensional indecomposable weight modules over the Lie superalgebra sl(2/1).     

1＋2维Caudrey—Dodd—Gibbon—Kotera—Sawada方程的非线性叠加公式

本文给出了1+2维Caudrey-Dodd-Gibbon-Kotera-Sawada方程(CDGKS)的一个B(?)cklund变换(BT)并导出了一个新颖的解的非线性叠加公式,借助于所得到的BT和非线性叠加公式,我们生成了1+2维CDGKS方程的一些新的特解。     

ALGORITHMS FOR IMPLEMENTATION OF GENERAL LIMIT REPRESENTATIONS OF GENERALIZED INVERSES

1. Introduction and PreliminariesThe set of all m x n comPlex matrices of rank r is denoted by cy". By I we denote anappropriate ideniity matrix. Also, n(A) denotes the trace of a square matriX A. By n(A) andN(A) are denoted the range and the null space of A, respectively Finally ad(A) and det(A)denote the adoint of the matris A and the determinant of A, respectivelyFOr any matrix A E crxn consider the following equations in X:(1) AXA=A, (2) XAX=X, (3) (AX)*=AX, (4) (XA)*=XAand…     

DECOMPOSITIONS OF BOSONIC MODULES OF LIE ALGEBRAS W1＋∞ AND W1＋∞（glN）

A bosonic construction (with central charge c = 2) of Lie algebras W1+∞ and W1+∞ (glN), as well as the decompositions into irreducible modules are described. And for W1+∞, when restricted to its Virasoro subalgebra Vir, a bosonic construction and the same decomposition for Vir are obtained.     

一类具有无穷时滞的Logistic方程的正概周期解存在性与渐近性

利用李雅普诺夫泛函解决了George Seifert在1996年所提公开问题.