搜索结果: 1-15 共查到“数学 nilpotent”相关记录36条 . 查询时间(0.074 秒)
CONFORMAL ACTIONS OF NILPOTENT GROUPS ON PSEUDO-RIEMANNIAN MANIFOLDS
CONFORMAL ACTIONS PSEUDO-RIEMANNIAN MANIFOLDS
2015/10/14
We study conformal actions of connected nilpotent Lie groups
on compact pseudo-Riemannian manifolds. We prove that if a type-(p,q)
compact manifold M supports a conformal action of a connected nilpo...
An affine manifold is a differentiable manifold together with an atlas of
coordinate charts whose coordinate changes extend to affine automorphisms of
Euclidean space. These charts are called atli...
Isoperimetric inequalities for nilpotent groups
nilpotent groups Isoperimetric inequalities
2015/8/26
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c+1 and a linear upper bound on its filling length function.
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients
Applications nilpotent quotients random walk
2015/7/14
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients。
AVERAGES ALONG POLYNOMIAL SEQUENCES IN DISCRETE NILPOTENT GROUPS: SINGULAR RADON TRANSFORMS
AVERAGES ALONG POLYNOMIAL SEQUENCES DISCRETE NILPOTENT GROUPS SINGULAR RADON TRANSFORMS
2014/4/3
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
A nilpotent IP polynomial multiple recurrence theorem
ergodic Ramsey theory IP-sets nilpotent Hales-Jewett theorem nilpotent Szemeredi theorem
2012/6/14
We generalize the IP-polynomial Szemer\'edi theorem due to Bergelson and McCutcheon and the nilpotent Szemer\'edi theorem due to Leibman. Important tools in our proof include a generalization of Leibm...
On the existence of nilsolitons on 2-step nilpotent Lie groups
existence nilsolitons 2-step nilpotent Lie groups Differential Geometry
2012/4/16
A 2-step nilpotent Lie algebra n is said to be of type (p,q)if dim(n)=p+q and dim([n,n])=p. By considering a class of 2-step nilpotent Lie algebras naturally attached to graphs, we prove that there ex...
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
Current group canonical representation special representation
2012/4/18
In this paper we describe the new model of the representations of the current groups with a semisimple Lie group of the rank one. In the earlier papers of 70-80-th (Araki, Gelfand-Graev-Vershik) had p...
The space of bi-invariant orders on a nilpotent group
invariant order left-orderable group nilpotent group Group Theory
2012/4/18
We prove a few basic facts about the space of bi-invariant (or left-invariant) total order relations on a torsion-free, nonabelian, nilpotent group G. For instance, we show that the space of bi-invari...
The poset of the nilpotent commutator of a nilpotent matrix
Jordan type nilpotent matrix commutator poset
2012/2/29
Fix an n by n nilpotent matrix B with entries in an infinite field k. Assume that B is in Jordan canonical form with associated Jordan block partition P. It is well known that the nilpotent commutator...
A general Kirillov Theory for locally compact nilpotent groups
Kirillov Theory compact nilpotent groups Operator Algebras
2011/9/22
Abstract: We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view an many known examples from the literature.
Nilpotent $p$-local finite groups
nilpotent p-local fusion p-local finite group fusion system
2011/9/21
Abstract: In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we ...
Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
Residually nilpotent group entropy of automorphisms of groups pseudo-Anosov dilatation
2011/9/15
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...
An effective method to compute closure ordering for nilpotent orbits of $θ$-representations
compute closure nilpotent orbits of $θ$-representations Algebraic Geometry
2011/8/31
Abstract: We develop an algorithm for computing the closure of a given nilpotent $G_0$-orbit in $\g_1$, where $\g_1$ and $G_0$ are coming from a $\Z$ or a $\Z/m\Z$-grading $\g= \bigoplus \g_i$ of a si...
Abstract: Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent eleme...