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1
Ratner's Theorems on
Unipotent Flows
In the following chapters, Morris introduces entropy, ergodic theory, and the theory of algebraic groups. The book concludes with a proof of the measure-theoretic version of Ratner's Theorem.
2
Unipotent and Nilpotent Classes in Simple Algebraic Groups ...
In this chapter we will produce certain distinguished unipotent elements in the
exceptional simple algebraic group G, which will eventually be shown to be a
com- plete set of representatives of distinguished unipotent classes.
Representatives ...
Martin W. Liebeck, Gary M. Seitz, 2012
3
The Minimal Polynomials of
Unipotent Elements in Irreducible ...
Then (w, 01) I p — 1 for the maximal root a of G and for a regular unipotent
element at G G the degree d,p(r) I (p — 1)pS + 1 < I ps+1. Set F I K or (C, G I G or
GC and assume that u G G is unipotent. Let (1.1) k12k22...2kt denote the sizes of
all ...
Irina D. Suprunenko, 2009
4
Projective Duality and Homogeneous Spaces
Soc., 34 (1983), 306-315 M.D. Atkinson, R. Westwik, Spaces of linear
transformations of equal rank, Linear and Multilinear Algebra, 13 (1983), 231-239
P. Bala, R.W. Carter, Classes of unipotent elements in simple algebras. I, Math.
Proc.
5
Introduction to Affine Group Schemes
8 Unipotent Groups 8.1 Unipotent Matrices As in the last chapter we begin with
matrices and then generalize to a class of group schemes; the matrices involved
here are at the other extreme from separability. What we want is some version of
...
6
Centres of Centralizers of
Unipotent Elements in Simple ...
The contents of this book cover notation and preliminary results, reduction of the problem, classical groups, associated cocharacters, the connected centralizer, the Lie algebra of the centre of the centralizer, and much more.
Ross Lawther, Donna M. Testerman
7
Lie Groups and Invariant Theory
213, 2005 Component Groups of the Centralizers of Unipotent Elements in
Semisimple Algebraic Groups A. Alexeevski Preface This article represents, with
small modifications, the paper [11] written twenty- five years ago and published
only in ...
Ėrnest Borisovich Vinberg, 2005
8
Linear Algebraic Groups
The unipotent radical 7.6.1. G is again a connected linear algebraic group, and T
a maximal torus. The main result of this section is the characterization of the
unipotent radical RUG given in 7.6.3. We denote by C the identity component of
the ...
9
Representations of Finite Chevalley Groups
work of Surowski [29] ); in addition, there are 3 unipotent representations
corresponding to the pair (E6, D4), one for each irreducible representation of H(
W,q4), W of type^42 (their dimensions are determined by (3.26.1) since the
generic ...
George Lusztig, Conference Board of the Mathematical Sciences, 1978
10
Completely Prime Maximal Ideals and Quantization
The point of this definition is that Vogan's irreducibility result for representations
induced from weakly unipotent ones [57. Theorem 8.17] carries over immediately
to representations induced from parabolically weakly unipotent ones (with the ...
William M. McGovern, 1994
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Metformin and prostate cancer stem cells: a novel therapeutic target
Lineage tracing has shown that multipotent basal stem cells give rise to basal, luminal and neuroendocrine cells, as well as unipotent luminal progenitors, which ... «Nature.com, 七月 15»
Agenda de l'innovation
Hypervital révèle la réalité dynamique d'un design au métabolisme plus énergétique qu'impotent ou unipotent. Elle organise par la combinaison d'une ... «UP Magazine, 七月 15»
Increased robustness of early embryogenesis through collective …
As the cells undergo more differentiation into pluripotent, multipotent and then unipotent cells, they go towards the deeper and lower valleys. Furthermore the ... «BMC Blogs Network, 六月 15»
The Aurora A-HP1γ pathway regulates gene expression and mitosis …
4d, pertains to regulation of the Wnt signaling pathway, which has widely been implicated in the promotion of proliferation and unipotent properties of ... «BMC Blogs Network, 五月 15»
Biennale de Saint-Etienne : le design qui fait du bien
... dynamique d'un design au métabolisme plus énergétique qu'impotent ou unipotent. » Si l'exposé des motifs est un peu confus, le parcours est passionnant. «Télérama.fr, 三月 15»
Keimzellreifung: PRDM14 macht den Unterschied
Keimzellen stellen einen besonderen Zelltyp dar: Sie sind unipotent, in ihrem Programm also so festgelegt, dass sie nur Zellen des gleichen Zelltyps bilden ... «DocCheck News, 三月 15»
Kök Hücre (Stem Cell) Nedir?
Unipotent kök hücrelerise,başka hücreye dönüşmez, ancak kendini yenileyebilir. O dokudaki normal hücreden farkları, kendilerini yenileme yeteneğine sahip ... «Milliyet, 十二月 14»
Stem Cells Create a Therapeutic Niche
... among differentiated cells in a tissue or organ—is capable of generating the cell types of the tissue in which it resides, and maybe unipotent or multipotent. «OncLive, 十月 14»
– Stamcelle-gjennombrudd gir håp om diabeteskur
Unipotent stamcelle er en celle som bare utvikler seg til en type spesialisert celle. Eks. muskelstamcelle. Kilder: Snl.no og Bioteknologirådet. Forskere ved det ... «ABC Nyheter, 十月 14»
Scientists design new kind of stem cells for building organs
Stem cells can either be unipotent or pluripotent. Unipotent stem cells can differentiate into a single kind of cells but pluripotent cells are the ones that have the ... «TheHealthSite, 九月 14»
