Results 41 to 50 of about 1,659,781 (237)

Generalized Cross-Curvature Solitons of 3D Lorentzian Lie Groups

open access: yesAxioms
We investigate left-invariant generalized cross-curvature solitons on simply connected three-dimensional Lorentzian Lie groups. Working with the assumption that the contravariant tensor Pij (defined from the Ricci tensor and scalar curvature) is ...
Mehdi Jafari
doaj   +1 more source

Supersymmetry and Lie groups

open access: yes, 2007
We construct all vacuum states of $\mathcal{N}=2$ supersymmetric Yang-Mills quantum mechanics (for SU(N) group) and discuss their origin from the SU(N) real cohomology.Comment: 12 pages, to appear in Journal of Mathematical ...
Trzetrzelewski, Maciej
core   +1 more source

The newfound relationship between extrachromosomal DNAs and excised signal circles

open access: yesFEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups

open access: yesJournal of Function Spaces and Applications, 2013
Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition.
Guorong Hu
doaj   +1 more source

Structural biology of ferritin nanocages

open access: yesFEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source

(1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups

open access: yes, 1999
All Lie bialgebra structures for the (1+1)-dimensional centrally extended Schrodinger algebra are explicitly derived and proved to be of the coboundary type.
Aizawa N   +34 more
core   +3 more sources

Tau acetylation at K331 has limited impact on tau pathology in vivo

open access: yesFEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto   +3 more
wiley   +1 more source

Abstract Lie groups and locally compact topological groups

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
We introduce a notion of abstract Lie group by means of the mapping which plays the role of the evolution operator. We show some basic properties of such groups very similar to the fundamentals of the infinite dimensional Lie theory.
Jacek Lech, Tomasz Rybicki
doaj  

On the Structure of Lie Pseudo-Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors.
Peter J. Olver   +2 more
doaj   +1 more source

Double Schubert polynomials for the classical Lie groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
For each infinite series of the classical Lie groups of type $B$, $C$ or $D$, we introduce a family of polynomials parametrized by the elements of the corresponding Weyl group of infinite rank.
Takeshi Ikeda   +2 more
doaj   +1 more source

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