搜索结果: 106-120 共查到“数学 Algebra”相关记录171条 . 查询时间(0.109 秒)
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 $\gg_2$. ...
A note on the von Neumann algebra of a Baumslag-Solitar group
the von Neumann algebra Baumslag-Solitar group
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2010/11/19
We study qualitative properties of the group von Neumann algebra of a Baumslag-Solitar group. Namely, we prove that, in the non-amenable and {ICC} case, the associated ${\rm II}_1$ factor is prime, no...
Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4
Constructive diagonalization element X the Jordan algebra
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2010/11/9
We know that any element $X$ of the exceptional Jordan algebra $\gJ$ is transformed to a diagonal form by the compact exceptional Lie group $F_4$. However, its proof is used the method which is reduce...
Dual Kappa Poincare Algebra
Dual Kappa Poincare Algebra math
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2010/11/22
We show a different modification of Poincare algebra that also preserves Lorentz algebra. The change begins with how boosts affect spacetime in a way similar to how they affect the momenta in kappa Po...
The structure of a the C*-algebra of a locally injective surjection
the C*-algebra locally injective surjection
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2010/11/9
We obtain a description of the C*-algebras which can occur as a simple quotient of the C*-algebra of a locally injective surjection on a compact metric space of finite covering dimension.
A Super Version of the Connes-Moscovici Hopf Algebra
the Connes-Moscovici Hopf Algebra Quantum Algebra
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2010/11/18
We define a super version of the Connes-Moscovici Hopf algebra, $\mathcal{H}_1$. For that, we consider the supergroup $G^s=Diff^+(\mathbb{R}^{1,1})$ of orientation preserving diffeomorphisms of the s...
Polylinear Mapping of Free Algebra
Polylinear Mapping Free Algebra
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2010/11/19
In this paper I consider the structure of the polylinear mapping of the free algebra over the commutative ring.
On the secondary Steenrod algebra
the secondary Steenrod algebra Algebraic Topology
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2010/11/18
We introduce a new model for the secondary Steenrod algebra at the prime 2 which is both smaller and more accessible than the original construction of H.-J. Baues.
A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
Computer Algebra Harmonic Sums Related Particle Physics
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2010/11/11
In this work we present the computer algebra package HarmonicSums and its theoretical background for the manipulation of harmonic sums and some related quantities as for example Euler-Zagier sums and...
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
Conjecture algebra polynomial integro-differential operators
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2010/11/19
Let $A_1:=K\langle x, \frac{d}{dx} \rangle$ be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators over a field $K$ of cha...
Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
Integrable Henon-Heiles Hamiltonians Poisson algebra approach
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2010/11/19
The three integrable two-dimensional Henon-Heiles systems and their integrable perturbations are revisited. A family of new integrable perturbations is found, and N-dimensional completely integrable ...
The algebra of integro-differential operators on an affine line and its modules
algebra integro-differential operators affine line
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2010/11/19
For the algebra $\mI_1= K\langle x, \frac{d}{dx}, \int \rangle$ of polynomial integro-differential operators over a field $K$ of characteristic zero, a classification of simple modules is given. It i...
Operator algebra quantum groups of universal gauge groups
Operator algebra quantum groups universal gauge groups
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2010/11/11
In this paper, we quantize universal gauge groups such as SU(\infty), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the conce...
Classification of Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebra
Harish-Chandra modules Lie algebras
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2010/11/22
In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebras. We first classify suc...
Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
Boundary quotients Toeplitz algebra affine semigroup natural numbers
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2010/12/8
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...