Results 91 to 100 of about 32,142 (201)

The Torus-Equivariant Cohomology of Nilpotent Orbits [PDF]

, 2013
We consider aspects of the geometry and topology of nilpotent orbits in finite-dimensional complex simple Lie algebras. In particular, we give the equivariant cohomologies of the regular and minimal nilpotent orbits with respect to the action of a ...
Crooks, Peter
core  

On the Moore Formula of Compact Nilmanifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition ...
Hatem Hamrouni
doaj   +1 more source

Unitary Representations of Nilpotent Super Lie Groups [PDF]

Communications in Mathematical Physics, 2010
We show that irreducible unitary representations of nilpotent super Lie groups can be obtained by induction from a distinguished class of sub super Lie groups. These sub super Lie groups are natural analogues of polarizing subgroups that appear in classical Kirillov theory.
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Notes on nilspaces: algebraic aspects

Discrete Analysis, 2017
Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
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Approximate lattices and Meyer sets in nilpotent Lie groups

Discrete Analysis, 2020
Approximate lattices and Meyer sets in nilpotent Lie groups, Discrete Analysis 2020:1, 18 pp. A central result in additive combinatorics, Freiman's theorem, describes the structure of any finite set $A$ of integers with the property that its sumset $A+A$
Simon Machado
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Explicit Ricci Solitons on Nilpotent Lie Groups [PDF]

Journal of Geometric Analysis, 2011
24 pages, no figures; typos corrected and exposition ...
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Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II

Electronic Journal of Differential Equations, 2003
We consider the Green functions for second order non-coercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$.
Roman Urban
doaj  

Harmonic Analysis in One-Parameter Metabelian Nilmanifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
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Algebraic Anosov actions of nilpotent Lie groups

Topology and its Applications, 2013
In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k on nilmanifolds, or (modified) Weyl chamber actions. We check the validity of the generalized Verjovsky conjecture in this
Barbot, Thierry, Maquera, Carlos
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Existence of isoperimetric regions in sub-Finsler nilpotent groups

Analysis and Geometry in Metric Spaces
We consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
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