Results 41 to 50 of about 200,107 (280)

Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj   +1 more source

The noncommutative geometry of Yang-Mills fields

, 2010
We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes.
Atiyah, Baaj, Blackadar, Bleecker, Chamseddine, Chamseddine, Chamseddine, Connes, Connes, Connes, Dixmier, Estrada, Gilkey, Gracia-Bondia, Jord Boeijink, Kasparov, Kasparov, Kucerovsky, Mesland, Nestruev, Raeburn, Rieffel, Swan, Várilly, Walter D. van Suijlekom   +24 more
core   +1 more source

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Perceived Importance and Bundles of Ecosystem Services in the Yangtze River Middle Reaches Megalopolis, China

Frontiers in Environmental Science, 2021
In this study, a survey with 4,580 residents in the Yangtze River Middle Reaches Megalopolis, central China, was conducted to assess the perceived importance of local ESs.
Guanshi Zhang, Xiu Zhang, Long Xie, Qi Zhang, Dongsheng Liu, Hongjuan Wu, Sen Li, Sen Li   +7 more
doaj   +1 more source

Loop Groups, Kaluza-Klein Reduction and M-Theory

, 2004
We show that the data of a principal G-bundle over a principal circle bundle is equivalent to that of a \hat{LG} = U(1) |x LG bundle over the base of the circle bundle.
A. Adams, A. Adams, A. Kapustin, A. Pressley, Aaron Bergman, C.M. Hull, D.-E. Diaconescu, E. Diaconescu, E. Witten, F.W. Kamber, G.W. Moore, H. Singh, I. Kriz, J. Evslin, J. Evslin, J. Evslin, J. McCleary, J.I. Royo Prieto, J.L. Brylinski, M. Haack, P. Bouwknegt, P. Horava, R. Bott, Uday Varadarajan, V. Mathai   +24 more
core   +1 more source

On principal connection like bundles [PDF]

Czechoslovak Mathematical Journal, 2014
Let \(\mathcal{PB}_m\) be the category of all principal fibred bundles with \(m\)-dimensional bases and their principal bundle homomorphisms covering embeddings. The author introduces the concepts of \((r,m)\)-system and product-preserving \((r,m)\)-system.
openaire   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Teleparallel gravity from the principal bundle viewpoint

Journal of High Energy Physics
We examine whether the Teleparallel Equivalent of General Relativity (TEGR) can be formulated as a gauge theory in the language of connections on principal bundles.
Sebastian Brezina, Eugenia Boffo, Martin Krššák   +2 more
doaj   +1 more source

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds [PDF]

Mathematica Bohemica, 2019
We study a problem of isometric compact 2-step nilmanifolds $M/\Gamma$ using some information on their geodesic flows, where $M$ is a simply connected 2-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a cocompact discrete subgroup ...
Hamid-Reza Fanaï, Atefeh Hasan-Zadeh
doaj   +1 more source