منابع مشابه
Bohr Density of Simple Linear Group Orbits
We show that any non-zero orbit under a non-compact, simple, irreducible linear group is dense in the Bohr compactification of the ambient space.
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We show, that the canonical invariant part of h̄ corrections to the Gutzwiller trace formula and the Gutzwiller-Voros spectral determinant can be computed by the Bohr-Sommerfeld quantization rules, which usually apply for integrable systems. We argue that the information content of the classical action and stability can be used more effectively than in the usual treatment. We demonstrate the imp...
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We prove a conjecture of Medvedev and Scanlon for endomorphisms of connected commutative linear algebraic groups G defined over an algebraically closed field k of characteristic 0. That is, if Φ: G −→ G is a dominant endomorphism, we prove that one of the following holds: either there exists a non-constant rational function f ∈ k(G) preserved by Φ (i.e., f ◦ Φ = f), or there exists a point x ∈ ...
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We determine the number ω(G) of orbits on the (finite) group G under the action of Aut(G) for G ∈ {PSL(2, q),SL(2, q),PSL(3, 3),Sz(2)}, covering all of the minimal simple groups as well as all of the simple Zassenhaus groups. This leads to recursive formulae on the one hand, and to the equation ω(Sz(q)) = ω(PSL(2, q)) + 2 on the other. MSC 20E32, 20F28, 20G40, 20-04
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Let be a non-discrete LCA (locally compact abelian) group, its dual. ( ) ∧, where denotes discrete, is the Bohr compactification of , denoted by . There exists a continuous group isomorphism ί: → of onto a proper dense subgroup of . This subgroup to be denoted by ί is the main object of our study. A subgroup of is pure if ∩ = for each positive integer . We define to be strongly pure if is pure ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2013
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2013.73