Results 61 to 70 of about 1,803,467 (337)

Maximal abelian subgroups of compact simple Lie groups of type E [PDF]

, 2012
We classify closed abelian subgroups of the automorphism group of a compact simple Lie algebra of type E whose centralizer has the same dimension as the dimension of the subgroup. These include maximal abelian subgroups and Jordan subgroups.
Jun Yu
semanticscholar   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]

Arab Journal of Mathematical Sciences
Purpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader, Osamnia Nada, Kaddour Zegga   +2 more
doaj   +1 more source

Analysis on simple Lie groups and lattices

, 2023
Prepared for the proceedings of the ICM2022 (20 pages)
openaire   +2 more sources

Bridging the gap: Multi‐stakeholder perspectives of molecular diagnostics in oncology

Molecular Oncology, EarlyView.
Although molecular diagnostics is transforming cancer care, implementing novel technologies remains challenging. This study identifies unmet needs and technology requirements through a two‐step stakeholder involvement. Liquid biopsies for monitoring applications and predictive biomarker testing emerge as key unmet needs. Technology requirements vary by
Jorine Arnouts, Senada Koljenović, Elise Daems, Karolien De Wael, Marc Peeters, Léon C. van Kempen, Greetje Vanhoutte, Karen Zwaenepoel, Timon Vandamme   +8 more
wiley   +1 more source

A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds

Mathematics
In this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
doaj   +1 more source

A modular analogue of Morozov's theorem on maximal subalgebras of simple Lie algebras

, 2017
Let $G$ be a simple algebraic group over an algebraically closed field of characteristic $p>0$ and suppose that $p$ is a very good prime for $G$. We prove that any maximal Lie subalgebra $M$ of $\mathfrak{g} = {\rm Lie}(G)$ with ${\rm rad}(M) \ne 0$ has ...
Benkart, Benkart, Block, Block, Borel, Borel, Bourbaki, Bourbaki, Carlson, Carter, Castillo-Ramirez, Clarke, de Graaf, Dynkin, Feldvoss, Garibaldi, Herpel, Herpel, Holmes, Holmes, Humphreys, Kuznetsov, Lawther, Lawther, Levy, Mal'cev, McNinch, Morozov, Panyushev, Pevtsova, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Premet, Purslow, Seligman, Serre, Skryabin, Skryabin, Springer, Steinberg, Stewart, Strade, Strade, University of Georgia VIGRE Algebra Group, Weisfeiler, Weisfeiler   +52 more
core   +1 more source

Indefinite Einstein metrics on simple Lie groups [PDF]

, 2012
The set E of Levi-Civita connections of left-invariant pseudo-Riemannian Einstein metrics on a given semisimple Lie group always includes D, the Levi-Civita connection of the Killing form.
Andrzej Derdzinski, S. Gal
semanticscholar   +1 more source

CD9‐association with PIP2 areas is regulated by a CD9 salt bridge

FEBS Open Bio, EarlyView.
The tetraspanin CD9 has an intracellular salt bridge. If CD9 opens, open‐CD9 moves from PIP2‐rich areas to regions populated by its interaction partner EWI‐2. Hence, the state of the salt bridge regulates the distribution of CD9 and by this CD9‐EWI‐2 complex formation.
Yahya Homsi, Sara C. Konopka, Thorsten Lang   +2 more
wiley   +1 more source

About Periodic Shunkov Group Saturated with Finite Simple Groups of Lie Type Rank 1

Известия Иркутского государственного университета: Серия "Математика", 2016
The property of group G to be saturated with given set of groups X is a natural generalization of locally-cover definition (in class of locally finite groups) on periodic groups. Locally-finite group, witch has a locally-cover contains from finite simple
A. Shlepkin
doaj