THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP

Abels H (2021)
Transformation Groups .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
Let S be a subsemigroup of a simply connected nilpotent Lie group G. We construct an asymptotic semigroup S-0 in the associated graded Lie group G(0) of G. We can compute the image of S-0 in the abelianization G(0)(ab) = G(ab). This gives useful information about S. As an application, we obtain a transparent proof of the following result of E. B. Vinberg and the author: either there is an epimorphism f : G -> R such that f (s) >= 0 for every s in S or the closure (S) over bar of S is a subgroup of G and G/(S) over bar is compact.
Erscheinungsjahr
2021
Zeitschriftentitel
Transformation Groups
ISSN
1083-4362
eISSN
1531-586X
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2959741

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Abels H. THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP. Transformation Groups . 2021.
Abels, H. (2021). THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP. Transformation Groups . https://doi.org/10.1007/s00031-021-09684-7
Abels, Herbert. 2021. “THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP”. Transformation Groups .
Abels, H. (2021). THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP. Transformation Groups .
Abels, H., 2021. THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP. Transformation Groups .
H. Abels, “THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP”, Transformation Groups , 2021.
Abels, H.: THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP. Transformation Groups . (2021).
Abels, Herbert. “THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP”. Transformation Groups (2021).
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2022-01-07T10:14:19Z
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