Results 61 to 70 of about 1,304,850 (179)

Nonlinear potential filtration equation and global actions of Lie symmetries

Electronic Journal of Differential Equations, 2009
The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
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An extention of Nomizu’s Theorem –A user’s guide–

Complex Manifolds, 2016
For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
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On groups of smooth maps into a simple compact Lie group

Commentarii Mathematici Helvetici, 1988
Let \(M_ 0G\) be the identity component of the group of smooth maps from a compact manifold X to a compact simple Lie group G. The diffeomorphisms of X act as automorphisms of \(M_ 0G\); another obvious class of automorphisms of \(M_ 0G\) is given by the smooth maps \(X\to Aut(G)\). The main result of this paper is that every automorphism of \(M_ 0G\),
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On G-finitistic spaces and related notions

International Journal of Mathematics and Mathematical Sciences, 1992
Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where
Satya Deo, Janak Singh Andotra
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS

Acta Polytechnica, 2016
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
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Character estimates of adjoint simple Lie groups [PDF]

Journal of Group Theory, 2014
Abstract Call a compact, connected, simple Lie group G adjoint simple if it has trivial center. Let C ⊂ G be a nontrivial conjugacy class, e ∈ G the identity element of G. We prove the existence of a bound N ∈ ℕ, depending on G but not C, such that e lies in the interior of Cn for all n ≥ N.
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A Simple Model of Double Dynamics on Lie Groups [PDF]

, 2019
We study the dynamics of the rigid rotator on the group manifold of SU(2) as an instance of dynamics on Lie groups together with a dual model whose carrier space is the Borel group SB(2,C), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfeldd double of the above mentioned groups, which describes the dynamics of a system ...
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