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Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
根据作者最近给出的广义Heisenberg—Virasoro代数李双代数结构的结果, 将在本文中考虑广义Heisenberg—Virasoro代数的量子化, 并给出详细的计算过程.
Abstract: We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie a...
Heisenberg超代数H的导子在基底上的表示矩阵为工具, 得到了关于复数域 C上的有限维Heisenberg超代数H的导子代数和全形的结论: H的导子代数Der H是单完备的李超代数, 而H的全形h(H)不是完备李超代数。
We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).
In this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclide...
A new calculus of planar diagrams involving diagrammatics for biadjoint func-tors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothend...
We derive the sharp constants for the inequalities on the Heisenberg group Hn whose analogues on Euclidean space Rn are the well known Hardy-Littlewood- Sobolev inequalities. Only one special case had...
In the first Heisenberg group, we show that the intersection of two intrinsic submanifolds with linearly independent horizontal normals locally coincides with the image of an injective continuous curv...
In this paper, we provide, for the q-Dunkl transform studied in [2], a Heisenberg uncertainty principle and two local uncertainty principles leading to a new Heisenberg-Weyl type inequality.
We show that the support of an irreducible weight module over the twisted Heisenberg--Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all n...
本文给出一类单连通幂零 Lie 群$G_n$上的 Plancherel 公式,用来讨论$G_n$上的左不变微分算子,得到其具亚椭圆性的一个充分条件,并对一类左不变微分算子构造出了拟基本解.
Let $f$ be in the localized nonisotropic Sobolev space $W_{\rm loc}^{1,p}(\Bbb H^n) $ on the $n$-dimensional Heisenberg group $\Bbb H^n=\Bbb C^n\times \Bbb R$, where $1\leq p is the h...
文章得到了Heisenberg型群上的几类Hardy型不等式,并确定出了次Laplace算子的Hardy型不等式中的最佳常数.

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