Results 11 to 20 of about 802 (140)

The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks

open access: yesJournal of Harbin University of Science and Technology, 2022
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
doaj   +1 more source

A pan‐metazoan concept for adult stem cells: the wobbling Penrose landscape

open access: yesBiological Reviews, Volume 97, Issue 1, Page 299-325, February 2022., 2022
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
wiley   +1 more source

Categorically Closed Unipotent Semigroups

open access: yesAxioms, 2022
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
openaire   +3 more sources

The Unipotency of Linear Groups Generated by Matrices with Primitive  Elements Contain no more than Six Jorden Blocks

open access: yesJournal of Harbin University of Science and Technology, 2019
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
doaj   +1 more source

On Special Pieces in the Unipotent Variety [PDF]

open access: yesExperimental Mathematics, 1999
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
openaire   +2 more sources

Geometric and Unipotent Crystals [PDF]

open access: yes, 2010
AMS LaTeX, 39 pages.
Berenstein, Arkady, Kazhdan, David
openaire   +2 more sources

Unipotent Groups in Invariant Theory [PDF]

open access: yesProceedings of the National Academy of Sciences, 1973
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.
openaire   +2 more sources

On right unipotent semigroups [PDF]

open access: yesPacific Journal of Mathematics, 1976
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 ...
openaire   +2 more sources

Unipotent representations and microlocalization

open access: yesRepresentation Theory of the American Mathematical Society, 2023
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 ...
openaire   +2 more sources

Unipotent invariant matrices

open access: yesLinear Algebra and its Applications, 2013
24 pages; final version, to appear in Linear Algebra and its ...
Can, Mahir Bilen   +2 more
openaire   +2 more sources

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