Results 91 to 100 of about 32,301 (195)
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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Existence of isoperimetric regions in sub-Finsler nilpotent groups
Analysis and Geometry in Metric SpacesWe 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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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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Solvability and Nilpotency of Lie Algebras in Cryptography and Steganography
MathematicsThis paper investigates the role of solvable and nilpotent Lie algebras in the domains of cryptography and steganography, emphasizing their potential in enhancing security protocols and covert communication methods.
Amor Hasić +3 more
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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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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
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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