loop代数
loop代数的相关文献在1989年到2017年内共计50篇,主要集中在数学、物理学、社会科学机构、团体、会议
等领域,其中期刊论文50篇、专利文献475篇;相关期刊36种,包括邢台学院学报、滨州学院学报、佳木斯教育学院学报等;
loop代数的相关文献由55位作者贡献,包括张玉峰、赵晶、董焕河等。
loop代数
-研究学者
- 张玉峰
- 赵晶
- 董焕河
- 闫庆友
- 龚新波
- 于宪伟
- 张鸿庆
- 孔令臣
- 张宁
- 王聪华
- 许凤华
- 赵晓赞
- 郭福奎
- 魏媛
- 代美丽
- 关红阳
- 关雪
- 刘昌堃
- 刘晓俊
- 夏传良
- 姚玉芹
- 孙业朋
- 张保才
- 张旭
- 张继明
- 张辉群
- 徐西祥
- 朱宏伟
- 朱连成
- 李可峰
- 李春香
- 李艳
- 李莎莎
- 杨明升
- 杨耕文
- 杨记明
- 梁凤鸣
- 沙玉英
- 王书琴
- 王燕
- 王蕾
- 舒斌
- 薛学军
- 许曰才
- 赵义军
- 赵熙强
- 连海峰
- 郭秀荣
- 陈晓红
- 陈维桓
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关雪;
朱宏伟;
张辉群
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摘要:
构造可积族的可积耦合系统极大地丰富了可积系统理论,成为研究的热点问题.基于一个具有双哈密顿结构的扩展的Dirac可积族,利用李代数半直和分解的思想,引入一类特殊的非半单矩阵Loop代数,得到该可积族的可积耦合系统.并利用变分恒等式证明了该可积耦合系统具有哈密顿结构.%The integrable coupling of the integrable system has greatly enriched the theory of integrable systems, which has become a hot issue in the research.Based on an extended Dirac integrable hierarchy with Bi-Hamiltonian structures, a special class of non-semisimple matrix Loop algebras is introduced by using the theory of Lie algebra and semi-direct sums decomposition.By using the variational equation, it is proved that the integrable coupling system has Hamiltonian structure.
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于宪伟;
赵晓赞
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摘要:
Based on a sub -algebra of a new loop algebra, an isospectral problem is designed, and an integrable hierarchy equations which is reduced to the NLS - MKDV hierarchy of equations is worked out by using Tu scheme. Besides, the structure of its Hamilton is established by using trace identity, and integrable coupling system is found.%由loop代数的一个子代数出发,建立一个新的等谱问题,利用屠格式导出了一类可积方程族,可约化为NLS—MKDV方程族.再利用迹恒等式建立其Hamilton结构,再进一步求出可积耦合系统.
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赵晓赞;
于宪伟
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摘要:
本文基于loop带数(A)2的一个子代数,利用屠格式导出NLS可积方程族,另外,利用迹恒等式建立其Hamilton结构,再进一步求出可积耦合系统.
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张旭;
于宪伟;
齐美美;
张继明
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摘要:
A subalgerbra A 1,which is equivalent to the subalgebra of the Loop algebra A2 in [4], is constructed by making use of algebraic transformation, and then a high - dimensional Loop alegebra G is presented in terms of A1. An isospectral problem is established following G by using direct sum operators and isomorphic relations among subalgebras. It is concluded that a class of expanding integrable system for generalized Schrodinger hierarchy of evolution equations is obtained. As in reduction cases, the integrable coupling of the famous generalized Schroedinger e -quation is presented.%利用代数变换,构造了与文献[4]中的Loop代数A2的子代数等价的Loop代数A1的一个子代数A1。再将A1扩展为一个高维的Loop代数G,利用G设计了一个等谱问题,结合子代数间直和运算和同构关系,得到了广义Schroedinger方程族的一类扩展可积系统。作为约化情形,求得了著名的广义Schroedinger方程的可积耦合系统。
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魏媛;
许凤华
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摘要:
介绍了一类高维李代数ff及其相应的loop代数(~H).利用loop代数(~H)和Tu格式,得到了一类新的可积方程族可积耦合的耦合,它可以化简为一类类似于GBK方程的可积耦合的耦合.%A higher-dimensional Lie algebra H and corresponding loop algebra (H) are introduced firstly.By taking advantage of (H) and Tu scheme,a coupling of integrable couplings of a hierarchy is obtained.The coupling of integrable couplings of the new hierarchy can be reduced to two kinds of coupling of integrable couplings similar to that of GBK equation.
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连海峰
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摘要:
设G是有限维复单李代数,A=C[t±1],GA: =G CA是loop代数.设a是非零复数,M是有限维不可约G-模,则Ma: =M是不可约GA-模, 其中xf(t)在Ma上的作用为xf(t)·v=f(a)xv.首先证明,若李代数L的有限维模都完全可约,那么L的有限维模的导子都是内导子.接着利用有限维复单李代数的有限维模都完全可约这一性质,计算GA-模Ma的导子.证明了当且仅当M是G的伴随模时,Ma存在外导子,这也说明了loop代数的有限维模不是完全可约的.%Let G be a simple Lie algebra over the complex field C,A=C[t±1], and GA: =GCA be the loop algebra. For any nonzero complex number a and any finite dimensional irreducible G-module M, Ma: =M is an irreducible GA-module. Where, the the action of x f(t) on Ma is defined by sending m to f(a)xm. In this paper, the author firstly proved that if any finite dimensional modules of Lie algebra L is completely reducible, then the derivations of such modules are all inner derivations. Using the fact that any finite dimensional modules of a complex simple Lie algebra is completely reducible, he computed the derivations of GA-module Ma,and proved that there exists outer derivations of Ma if and only if M is G's adjoint module.
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