约当是量子力学奠基人之一,是量子场论的奠基人,量子生物学也是他的主意。约当在量子力学建立过程中使用的数学最终导致了约当代数这个数学分支的诞生。约当是早慧的天才,又得到诸多科学巨擘的加持,其对物理学的贡献给人一种信手拈来的...约当是量子力学奠基人之一,是量子场论的奠基人,量子生物学也是他的主意。约当在量子力学建立过程中使用的数学最终导致了约当代数这个数学分支的诞生。约当是早慧的天才,又得到诸多科学巨擘的加持,其对物理学的贡献给人一种信手拈来的感觉。令人不解的是,约当对科学的贡献遭到了有意无意的忽视。约当被誉为无人提及的量子力学英雄(der unbesungene Helden der Quantenmechanik),量子力学与量子场论被不公正地几乎遗忘的共同构建者(zu Unrecht fast vergessenen Mitbegründer der Quantenmechanik und der Quantenfeldtheorie),这样的命运令人不胜唏嘘。展开更多
Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R=F×F where F is a field such that CharF=0. In this paper, we prove that any Jordan automorphism of T(R) can be decomp...Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R=F×F where F is a field such that CharF=0. In this paper, we prove that any Jordan automorphism of T(R) can be decomposed into a product of involutive, inner and diagonal automorphisms.展开更多
Based on some former studies of Chinese rural society, this paper summerizes the achievements and limitations of general Chinese rural studies and then proposes a social operation model in rural areas which is dominat...Based on some former studies of Chinese rural society, this paper summerizes the achievements and limitations of general Chinese rural studies and then proposes a social operation model in rural areas which is dominated by the squires. It uses some specific historical data and discoveries of feild sduty to further examine the profound influence of the squires on rural politcal construction in three different aspects： the model of clan and religion, the role as inter-mediator and the growth of basic armed forces. The study found that this special social group played a center role in Chinese rural political system from ancient to modem times, particularly, the research considers the decline of the squire society since the establishment of the new government in 1949. In the end, this paper points out the cultural guiding significance of this social model in the study to the rural construction in contemporay China by predicting the possiblity of renaissance展开更多
In [21], generalized restricted Lie algebras, defined over a field F of positive characteristic p, were introduced. In this note their cohomology, especially the so-called generalized restricted cohomology is studies....In [21], generalized restricted Lie algebras, defined over a field F of positive characteristic p, were introduced. In this note their cohomology, especially the so-called generalized restricted cohomology is studies. Some reduction properties are obtained. For graded Cartan type Lie algebras the author determines the first Lie-cohomology groups and the first generalized restricted cohomology groups with the coefficients in the highest weight modules from which all irreducible generalized restricted modules are derived.展开更多
The author explores the relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root system,and computes the inj...The author explores the relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root system,and computes the injectivity radius and diameter for every type of irreducible ones.展开更多
For a graded simple Lie algebra of Cartan type L=X(m:n) (2) X∈{W,S,H,K} , over a field F of odd characteristic p , the group generated by one-parameter subgroups of the form exp( t ad y )is descr...For a graded simple Lie algebra of Cartan type L=X(m:n) (2) X∈{W,S,H,K} , over a field F of odd characteristic p , the group generated by one-parameter subgroups of the form exp( t ad y )is described, where y∈L+F u satisfying y p=0 , t∈F and u is some fixed element of the p -envelope of L in Der u (m :n).展开更多
文摘约当是量子力学奠基人之一,是量子场论的奠基人,量子生物学也是他的主意。约当在量子力学建立过程中使用的数学最终导致了约当代数这个数学分支的诞生。约当是早慧的天才,又得到诸多科学巨擘的加持,其对物理学的贡献给人一种信手拈来的感觉。令人不解的是,约当对科学的贡献遭到了有意无意的忽视。约当被誉为无人提及的量子力学英雄(der unbesungene Helden der Quantenmechanik),量子力学与量子场论被不公正地几乎遗忘的共同构建者(zu Unrecht fast vergessenen Mitbegründer der Quantenmechanik und der Quantenfeldtheorie),这样的命运令人不胜唏嘘。
基金Doctor Foundation of Henan Polytechnic University(B2010-93)Natural Science Research Program of Education Department of Henan Province(2011B110016)+1 种基金Natural Science Foundation of Henan Province(112300410120)Applied Mathematics Provincial-level Key Discipline of Henan Province
文摘Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R=F×F where F is a field such that CharF=0. In this paper, we prove that any Jordan automorphism of T(R) can be decomposed into a product of involutive, inner and diagonal automorphisms.
文摘Based on some former studies of Chinese rural society, this paper summerizes the achievements and limitations of general Chinese rural studies and then proposes a social operation model in rural areas which is dominated by the squires. It uses some specific historical data and discoveries of feild sduty to further examine the profound influence of the squires on rural politcal construction in three different aspects： the model of clan and religion, the role as inter-mediator and the growth of basic armed forces. The study found that this special social group played a center role in Chinese rural political system from ancient to modem times, particularly, the research considers the decline of the squire society since the establishment of the new government in 1949. In the end, this paper points out the cultural guiding significance of this social model in the study to the rural construction in contemporay China by predicting the possiblity of renaissance
文摘In [21], generalized restricted Lie algebras, defined over a field F of positive characteristic p, were introduced. In this note their cohomology, especially the so-called generalized restricted cohomology is studies. Some reduction properties are obtained. For graded Cartan type Lie algebras the author determines the first Lie-cohomology groups and the first generalized restricted cohomology groups with the coefficients in the highest weight modules from which all irreducible generalized restricted modules are derived.
基金Project supported by the National Natural Science Foundation of China(No.10531090).
文摘The author explores the relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root system,and computes the injectivity radius and diameter for every type of irreducible ones.
文摘For a graded simple Lie algebra of Cartan type L=X(m:n) (2) X∈{W,S,H,K} , over a field F of odd characteristic p , the group generated by one-parameter subgroups of the form exp( t ad y )is described, where y∈L+F u satisfying y p=0 , t∈F and u is some fixed element of the p -envelope of L in Der u (m :n).
