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Large Deviations Principle by viscosity solutions: the case of diffusions with oblique Lipschitz reflections
Large Deviations Principle diffusions with oblique reflections
2011/1/21
We establish a Large Deviations Principle for stochastic processes with Lipschitz continuous oblique reflections on regular domains. The rate functional is given as the value function of a control pro...
We view the RSK correspondence as associating to each permutation 2 Sn a Young diagram = (), i.e. a partition of n. Suppose now that is pre-multiplied by t transpositions, what is the largest ...
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
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
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
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^...
Quantization of Poisson algebras associated to Lie algebroids
Quantization Poisson algebras Lie algebroids
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
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...
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...
Lie-Hopf algebras and loop homology of suspension spaces
Lie-Hopf algebras loop homology suspension spaces
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...
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Lie algebraic Ricci flow invariant curvature conditions Harnack inequalities
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...
Vertex Operator Algebras Associated to Type G Affine Lie Algebras
Vertex Operator Algebras Associated Type G Affine Lie Algebras
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...
In this note, we will prove that a finite dimensional Lie algebra $L$ of characteristic zero, admitting an abelian algebra of derivations $D\leq Der(L)$ with the property $$ L^n\subseteq \sum_{d\in D...
Classification of Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebra
Harish-Chandra modules Lie algebras
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...
Lipschitz retraction and distortion for subgroups of Out(F_n)
Lipschitz retraction distortion subgroups of Out(F_n)
2010/12/13
Given a finitely generated group G, a finitely generated subgroup H is undistorted in G if the inclusion map H →֒ G is a quasi-isometric embedding with respect to word metrics. Nondistortion may...