Results 71 to 80 of about 263 (173)

Quiver subtraction on the Higgs branch

Nuclear Physics B
This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and introduces a Higgs branch subtraction algorithm.
Sam Bennett, Amihay Hanany, Guhesh Kumaran, Chunhao Li, Deshuo Liu, Marcus Sperling   +5 more
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Filtrations and canonical coordinates on nilpotent Lie groups [PDF]

Transactions of the American Mathematical Society, 1978
Let g be a finite-dimensional nilpotent Lie algebra over a field of characteristic zero. Introducing the notion of a positive, decreasing filtration 9 on a, the paper studies the multiplicative structure of the universal enveloping algebra {/(g), and also transformation laws between ^-canonical coordinates of the first and second kind associated with ...
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A Plancherel Formula for Idyllic Nilpotent Lie Groups [PDF]

Transactions of the American Mathematical Society, 1976
A procedure is developed which can be used to compute the Plancherel measure for a certain class of nilpotent Lie groups, including the Heisenberg groups, free groups, two-and three-step groups, the nilpotent part of an Iwasawa decomposition of the R-split form of the classical simple groups
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The existence of soliton metrics for nilpotent Lie groups [PDF]

Geometriae Dedicata, 2009
47 ...
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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  

Controllability of systems of a nilpotent Lie group

, 1985
Sei W eine Teilmenge der Liealgebra L(G) einer zusammenhängenden Liegruppe G und sei S die durch Ext \({\mathbb{R}}^+W\) in G erzeugte Halbgruppe. Dann heißt das Paar (S,W) das durch W erzeugte System of G. Ein solches System heißt kontrollierbar, wenn \(S=G\) gilt. In diesem Fall läßt sich jedes Element \(g\in G\) in der Form \[ g=Exp t_ 1X_ 1...
Lawson, J.D., Hofmann, K.H., Hilgert, J.
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Differential forms in Carnot groups: a variational approach

Bruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature

Electronic Journal of Differential Equations, 2004
We consider the Green functions for second-order left-invariant differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$. We obtain estimates for mixed derivatives
Roman Urban
doaj  

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source