搜索结果: 91-105 共查到“理学 lie”相关记录233条 . 查询时间(0.303 秒)
Yang-Baxter operators from (G, \theta)-Lie algebras
Yang-Baxter operators Lie algebras
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2010/12/27
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-pa...
Cech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction
Cech cocycles differential characteristic classes
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2010/11/24
We define for every L-infinity algebra a smooth infinity-group integrating it, and define smooth principal infinity-bundles with connection. For every L-infinity-algebra cocycle of suitable degree, we...
A quantum stochastic Lie-Trotter product formula
quantum stochastic Lie-Trotter product formula
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2010/11/24
A Trotter product formula is established for unitary quantum stochastic processes governed by quantum stochastic differential equations with constant bounded coefficients.
Symplectic reflection algebras and affine Lie algebras
Symplectic reflection algebras affine Lie algebras
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2010/11/23
The goal of this paper is to present some results and (more importantly) state a number of conjectures suggesting that the representation theory of symplectic reflection algebras for wreath products c...
The pre-Lie operad as a deformation of NAP
The pre-Lie operad deformation of NAP
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2010/11/23
We define a family of multigraded operads $O_\lambda$ depending on a scalar parameter, such that forgetting the multigraduation gives back the pre-Lie operad when the parameter $\lambda$ is equal to o...
Pre-Lie algebras in positive characteristic
Pre-Lie algebras positive characteristic
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2010/11/23
In prime characteristic we introduce the notion of restricted pre-Lie algebra. We prove in the pre-Lie context the analogue to Jacobson's theorem for restricted Lie algebras. In particular, we prove t...
Universal central extensions of twisted forms of split simple Lie algebras over rings
Universal central extensions Lie algebras
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2010/11/23
We give sufficient conditions for the descent construction to be the universal central extension of a twisted form of a split simple Lie algebra over a ring. In particular, the universal central exten...
CleGo: A package for automated computation of Clebsch-Gordan coefficients in Tensor Product Representations for Lie Algebras A - G
CleGo Clebsch-Gordan coefficients Tensor Product Representations Lie Algebras A - G
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2010/11/23
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...
On twin and anti-twin words in the support of the free Lie algebra
On twin anti-twin words the free Lie algebra
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2010/11/11
Let $L_{K}(A)$ be the free Lie algebra on a finite alphabet $A$ over a commutative ring $K$ with unity. For a word $u$ in the free monoid $A^{*}$ let $\tilde{u}$ denote its reversal. Two words in $A^...
Zeta-functions of weight lattices of compact semisimple connected Lie groups
Zeta-functions compact semisimple connected Lie groups
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2010/11/8
We define zeta-functions of weight lattices of compact semisimple connected Lie groups. If the group is simply-connected, these zeta-functions coincide with ordinary zeta-functions of root systems of ...
Quantization of Poisson algebras associated to Lie algebroids
Quantization Poisson algebras Lie algebroids
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2010/11/1
We prove the existence of a strict deformation quantization for the canonical Poisson structure on the dual of an integrable Lie algebroid. It follows that any Lie groupoid C*-algebra may be regarded...
Representations for the restricted Lie color algebras
Representations the restricted Lie color algebras
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2010/11/12
The generalized p-characters for the restricted Lie color are defined. The simplicity of the induced modules for the FP triples are determined. As applications, we have obtained an analogue of the Ka...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations The Simple n-Lie Algebra
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2010/11/11
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
Do the Ricci and energy-momentum tensors have "duality'' in the context of their Lie symmetries?
Ricci energy-momentum tensors
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2010/12/20
The Ricci and energy-momentum tensors have the same algebraic sym-metries. In the Einstein equations they look “dual” to each other, in that interchang-ing them and inverting the gravitational couplin...
On duality and negative dimensions in the theory of Lie groups and symmetric spaces
duality negative dimensions theory Lie groups symmetric spaces
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2010/11/8
We give one more interpretation of the symbolic formulae $U(-N)=U(N)$ and $Sp(-2N)=SO(2N)$ by comparing the values of certain Casimir operators in the corresponding tensor representations. We show al...