搜索结果: 16-30 共查到“理学 lie”相关记录233条 . 查询时间(0.208 秒)
On Discretization of Tori of Compact Simple Lie Groups II
Discretization of Tori Compact Simple Lie Groups II Mathematical Physics
font style='font-size:12px;'>
2012/6/14
The discrete orthogonality of special function families, called $C$- and $S$-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivn\'ak and Patera (2009 J...
On the existence of nilsolitons on 2-step nilpotent Lie groups
existence nilsolitons 2-step nilpotent Lie groups Differential Geometry
font style='font-size:12px;'>
2012/4/16
A 2-step nilpotent Lie algebra n is said to be of type (p,q)if dim(n)=p+q and dim([n,n])=p. By considering a class of 2-step nilpotent Lie algebras naturally attached to graphs, we prove that there ex...
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
Current group canonical representation special representation
font style='font-size:12px;'>
2012/4/18
In this paper we describe the new model of the representations of the current groups with a semisimple Lie group of the rank one. In the earlier papers of 70-80-th (Araki, Gelfand-Graev-Vershik) had p...
On the Commuting variety of a reductive Lie algebra and other related varieties
polynomial algebra complex commuting variety desingularization Gorenstein Cohen-Macaulay rational singularities cohomology
font style='font-size:12px;'>
2012/4/18
In this note, one discusses about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingulariz...
Representations of solvable Lie algebras with filtrations
Representations solvable Lie algebras filtrations
font style='font-size:12px;'>
2012/3/1
We construct representation theory of Lie algebras with filtrations. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are fou...
利用Lie群方法求Burgers-Huxley方程行波类首次积分
Burgers-Huxley方程 单参数Lie群 首次积分
font style='font-size:12px;'>
2013/10/19
本文运用Lie群理论,证明了Burgers-Huxley方程的行波解所满足的二阶非线性方程在参数满足一定关系时,在经典意义下接受一个两参数Lie群,此时可用积分法求其首次积分.
Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation
Lax pair symmetries symmetry group exact solution
font style='font-size:12px;'>
2012/9/24
A new method is presented to find the finite symmetry groups of nonlinear physics systems. For the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, both the Lie point symmetry and the non-Lie...
SK_1 and Lie Algebras
uniform group Iwasawa algebra SK1 Lie algebra
font style='font-size:12px;'>
2011/9/23
Abstract: We investigate the vanishing of the group SK1(A(G)) for the Iwasawa algebra A(G) of a pro-p p-adic Lie group G (with p different from 2). We reduce this vanishing to a linear algebra problem...
Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Lie-algebraic interpretation the Coulomb-Rosochatius n dimensions Mathematical Physics
font style='font-size:12px;'>
2011/9/20
Abstract: The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned...
Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
font style='font-size:12px;'>
2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
font style='font-size:12px;'>
2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
font style='font-size:12px;'>
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
Simple Lie algebras arising from Leavitt path algebras
Leavitt path algebra simple Lie algebra commutator
font style='font-size:12px;'>
2011/9/9
Abstract: For a field K and directed graph E, we analyze those elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E), L_K(E)]. This analysis allows us to give easily...
Transitive Lie algebras of vector fields---an overview
Transitive Lie algebras vector fields Differential Geometry
font style='font-size:12px;'>
2011/9/6
Abstract: This overview paper is intended as a quick introduction to Lie algebras of vector fields. Originally introduced in the late 19th century by Sophus Lie to capture symmetries of ordinary diffe...
Complexity for Modules Over the Classical Lie Superalgebra gl(m|n)
Complexity the Classical Lie Superalgebra gl(m|n) Representation Theory
font style='font-size:12px;'>
2011/9/5
Abstract: Let $\mathfrak{g}=\mathfrak{g}_{\bar{0}}\oplus \mathfrak{g}_{\bar{1}}$ be a classical Lie superalgebra and $\mathcal{F}$ be the category of finite dimensional $\mathfrak{g}$-supermodules whi...