Results 11 to 20 of about 802 (140)
The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks
Aiming at the question whether the group generated by two unipotent matrices whose Jordan blocks are of order no more than five is a unipotent group, based on the fundamental definition of nilpotent matrix, we use the matrix logarithm tool to obtain some
YANG Xin-song, LI Jia-xin
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A pan‐metazoan concept for adult stem cells: the wobbling Penrose landscape
ABSTRACT Adult stem cells (ASCs) in vertebrates and model invertebrates (e.g. Drosophila melanogaster) are typically long‐lived, lineage‐restricted, clonogenic and quiescent cells with somatic descendants and tissue/organ‐restricted activities.
Baruch Rinkevich +17 more
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Categorically Closed Unipotent Semigroups
Let C be a class of T1 topological semigroups, containing all Hausdorff zero-dimensional topological semigroups. A semigroup X is C-closed if X is closed in any topological semigroup Y∈C that contains X as a discrete subsemigroup; X is injectively C-closed if for any injective homomorphism h:X→Y to a topological semigroup Y∈C the image h[X] is closed ...
Taras O. Banakh, Myroslava Vovk
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In order to solve the problem of whether the matrices generated by two unipotent matrices are unipotency, a new combinatorial property of generators of free groups is obtained by using the matrix logarithmic tool。From the point of the combination of ...
YANG Xin-song, MA Chang
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On Special Pieces in the Unipotent Variety [PDF]
This article is the result of experiments performed using computer programs written in the GAP language. We describe an algorithm which computes a set of rational functions attached to a finite Coxeter group W. Conjecturally, these rational functions should be polynomials, and in the case where W is the Weyl group of a Chevalley group G defined over Fq,
Geck, Meinolf, Malle, Gunter
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Geometric and Unipotent Crystals [PDF]
AMS LaTeX, 39 pages.
Berenstein, Arkady, Kazhdan, David
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Unipotent Groups in Invariant Theory [PDF]
The finite generation of the ring of invariants of a special class of unipotent groups is established—namely, unipotent radicals of parabolic subgroups.
Hochschild, G., Mostow, G. D.
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On right unipotent semigroups [PDF]
Es werden rechtsunipotente Halbgruppen, d.h. Halbgruppen, in denen jede \(R\)-Klasse genau ein idempotentes Element enthält, betrachtet. Der Verf. charakterisiert die folgenden Eigenschaften derartiger Halbgruppen \(S\): (1) Die Unterhalbgruppe \(E\) der Idempotenten liegt im Zentrum von \(S\); (2) \(S\) ist Vereinigung von Gruppen; (3) S ist invers ...
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Unipotent representations and microlocalization
We develop a theory of microlocalization for Harish-Chandra modules, adapting a construction of Losev [Duke Math. J. 159 (2011), pp. 99–143]. We explore the applications of this theory to unipotent representations of real reductive groups. For a unipotent representation of a complex group, we deduce a formula for the restriction to a maximal compact ...
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24 pages; final version, to appear in Linear Algebra and its ...
Can, Mahir Bilen +2 more
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