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Compact groups with probabilistically central monothetic subgroups
If K is a closed subgroup of a compact group G , the probability that a randomly chosen pair of elements from K and G commute is denoted by Pr( K , G )....
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On Harmonic Hilbert Spaces on Compact Abelian Groups
Harmonic Hilbert spaces on locally compact abelian groups are reproducing kernel Hilbert spaces (RKHSs) of continuous functions constructed by...
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Almost multiplicity free subgroups of compact Lie groups and polynomial integrability of sub-Riemannian geodesic flows
We classify almost multiplicity free subgroups K of compact simple Lie groups G . The problem is related to the integrability of Riemannian and...
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On Sequences of Word Maps of Compact Topological Groups
In 2013 , A. Thom proved that for any standard unitary group SU (ℂ) (the compact form) and for any real number ϵ > 0, there is a nontrivial word w ( x , y ...
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Compact Groups
In this chapter the simply connected groups which are universal coverings of compact groups are studied. It is proved that the Lie algebra...
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Regularity of the Semigroup of Regular Probability Measures on Locally Compact Hausdorff Topological Groups
Let G be a locally compact Hausdorff group, and let P ( G ) denote the class of all regular probability measures on G . It is well known that P ( G ) forms...
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Global Stability of the Pluriclosed Flow on Compact Simply Connected Simple Lie Groups of Rank Two
We compute the (1,1)-Aeppli cohomology of compact simply connected simple Lie groups of rank two. In particular, we verify that they are of dimension...
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Generalization of the Heyde Theorem to Some Locally Compact Abelian Groups
According to the well-known Heyde theorem, the Gaussian distribution on the real line is characterized by the symmetry of the conditional...
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Homomorphic images of locally compact groups acting on trees and buildings
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions...
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Drift diffusion equations with fractional diffusion on compact Lie groups
In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The...
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Absolute Ideals of Algebraically Compact Abelian Groups
An absolute ideal of an Abelian group G is a subgroup that is an ideal in every ring whose additive group coincides with G . We describe reduced...
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INTEGRAL OPERATORS, GUIDING POTENTIALS AND PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS ON NON-COMPACT LIE GROUPS
We obtain the existence of a periodic solution for differential inclusions with lower semi-continuous right-hand sides on non-compact Lie groups. The...
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A note on p-Kähler structures on compact quotients of Lie groups
A p -Kähler structure on a complex manifold of complex dimension n is given by a d -closed transverse real ( p , p )-form. In the paper, we study the...