搜索结果: 106-120 共查到“理学 lie”相关记录233条 . 查询时间(0.098 秒)
On the algebraic set of singular elements in a complex simple Lie algebra
algebraic singular elements
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2010/11/19
Let $G$ be a complex simple Lie group and let $\g = \hbox{\rm Lie}\,G$. Let $S(\g)$ be the $G$-module of polynomial functions on $\g$ and let $\hbox{\rm Sing}\,\g$ be the closed algebraic cone of sin...
The Freudenthal product and orbits in the Jordan algebra over the exceptional Lie group of type F$_{4(-20)}$
Freudenthal orbits Jordan algebra
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2010/11/9
The orbit decomposition is presented for the real form of complex simple Jordan algebra with the automorphism group F$_{4(-20)}$, explicitly, in terms of the cross product and the characteristic polyn...
Meander graphs and Frobenius Seaweed Lie algebras
Meander graphs Frobenius Seaweed Lie algebras
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2010/11/11
The index of a seaweed Lie algebra can be computed from its associated meander graph. We examine this graph in several ways with a goal of determining families of Frobenius (index zero) seaweed algebr...
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
Dirac method symplectic submanifolds cotangent bundle factorizable Lie group
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2010/11/18
In this work we study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these...
Equivariant K-theory for proper actions of non-compact Lie groups
Equivariant K-theory proper actions non-compact Lie groups
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2010/11/8
Generalizing a construction of Wolfgang L\"uck and Bob Oliver, we define a good equivariant cohomology theory on the category of proper G-CW complexes when G is an arbitrary Lie group (possibly non-c...
Adjoint orbit types of compact exceptional Lie group G2 in its Lie algebra
exceptional Lie group G2 Lie algebra
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2010/11/8
A Lie group $G$ naturally acts on its Lie algebra $\gg$, called the adjoint action. In this paper, we determine the orbit types of the compact exceptional Lie group $G_2$ in its Lie algebra $\gg_2$. ...
Yang-Baxter operators from (G, \theta)-Lie algebras
Yang-Baxter operators Lie algebras
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2010/11/15
The (G, \theta)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and the spectral-par...
Orbit types of the compact Lie group E_7 in the complex Freudenthal vector space P^C
Lie group E_7 Freudenthal vector space P^C
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2010/11/9
Let J be the exceptional Jordan algebra over R and J^C its complexification. Then the simply connected compact exceptional Lie group F_4 acts on J and F_4 has three orbit types which are F_4/F_4, F_4...
Lie group classifications and exact solutions for time-fractional Burgers equation
Lie group classifications exact solutions
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2010/11/22
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-f...
Lie-Hopf algebras and loop homology of suspension spaces
Lie-Hopf algebras loop homology suspension spaces
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2010/11/18
For an arbitrary topological space $X$, the loop space homology $H_*(\Omega\Sigma X; \mathbb{Z})$ is a Hopf algebra. We introduce a new homotopy invariant of a topological space $X$ that takes values...
Lie superalgebras with some homogeneous structures
Lie superalgebras homogeneous structures
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2010/11/18
We generalize to the case of Lie superalgebras the classical symplectic double extension of symplectic Lie algebras introduced in [2]. We use this concept to give an inductive description of nilpoten...
Holomorphic Realization of Unitary Representations of Banach--Lie Groups
Holomorphic Realization Unitary Representations Banach--Lie Groups
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2010/11/11
In this paper we explore the method of holomorphic induction for unitary representations of Banach--Lie groups. First we show that the classification of complex bundle structures on homogeneous Banac...
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Lie algebraic Ricci flow invariant curvature conditions Harnack inequalities
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2010/11/22
We consider a subset $S$ of the complex Lie algebra $\so(n,\C)$ and the cone $C(S)$ of curvature operators which are nonnegative on $S$. We show that $C(S)$ defines a Ricci flow invariant curvature co...
Invariant Orders on Hermitian Lie Groups
Invariant Orders Hermitian Lie Groups
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2010/11/22
We study three natural bi-invariant partial orders on a certain covering group of the automorphism group of a bounded symmetric domain of tube type; these orderings are defined using the geometry of ...
Vertex Operator Algebras Associated to Type G Affine Lie Algebras
Vertex Operator Algebras Associated Type G Affine Lie Algebras
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2010/11/22
In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k= -5/3, -4/3, -2/3$ for the affine algebra of type $G_2^{(1)}$. We first determine sin...