Results 51 to 60 of about 1,668,111 (289)

Twisted Weyl groups of Lie groups and nonabelian cohomology

, 2006
For a cyclic group $A$ and a connected Lie group $G$ with an $A$-module structure (with the additional conditions that $G$ is compact and the $A$-module structure on $G$ is 1-semisimple if $A\cong\ZZ$), we define the twisted Weyl group $W=W(G,A,T ...
An, Jinpeng
core   +2 more sources

Pre‐analytical optimization of cell‐free DNA and extracellular vesicle‐derived DNA for mutation detection in liquid biopsies

Molecular Oncology, EarlyView.
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen, Lucrezia De Santis, Bret M. Stephens, Vincent Bernard, Jörg C. Kalff, Lara Braun, Phillipp Leyendecker, Johannes Röttgen, Daniel Weissinger, Anirban Maitra, Paola A. Guerrero, Alexander Semaan   +11 more
wiley   +1 more source

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

, 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, Aneva B L, Angel Ballesteros, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Ballesteros A, Bonechi F, Burdet G, Dayi Ö F, Demidov E E, Dobrev V K, Drinfel'd V G, Floreanini R, Floreanini R, Francisco J Herranz, Micu M, Niederer U, Nieto L M, Ogievetsky O, Ogievetsky O, Ohn C, Opanowicz A, Preeti Parashar, Shariati A, Van der Jeugt J, Zakrzewski S   +34 more
core   +3 more sources

Splittable Lie Groups and Lie Algebras

Journal of Algebra, 2000
Let us call a finite-dimensional Lie algebra \(\mathfrak g\) over a field of characteristic zero Malcev splittable if \(\operatorname {ad}{\mathfrak g}\) is splittable in the sense that for each element of \(\operatorname {ad}{\mathfrak g}\) the semisimple and nilpotent Jordan component belong to \(\operatorname {ad}{\mathfrak g}\).
openaire   +2 more sources

Cell‐cycle‐specific lesion evolution rather than inhibition of double‐strand‐break repair underpins cisplatin radiosensitization

Molecular Oncology, EarlyView.
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu, Xixi Lin, Emil Mladenov, Veronika Mladenova, Jürgen Thomale, Ali Sak, Yao Wang, Yunxuan Deng, Eleni Gkika, Martin Stuschke, George Iliakis   +10 more
wiley   +1 more source

Abstract Lie groups and locally compact topological groups

Annales 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

Symmetry, 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, Juha Pohjanpelto, Francis Valiquette   +2 more
doaj   +1 more source

Double Schubert polynomials for the classical Lie groups [PDF]

Discrete 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, Leonardo Mihalcea, Hiroshi Naruse   +2 more
doaj   +1 more source

Interpreting the effects of DNA polymerase variants at the structural level

Molecular Oncology, EarlyView.
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi, Karolina Krzesińska, Ludovica Beltrame, Pablo Sánchez‐Izquierdo Besora, Matteo Tiberti, Mef Nilbert, Anna Rohlin, Elena Papaleo   +7 more
wiley   +1 more source

Contact Semi-Riemannian Structures in CR Geometry: Some Aspects

Axioms, 2019
There is one-to-one correspondence between contact semi-Riemannian structures ( η , ξ , φ , g ) and non-degenerate almost CR structures ( H , ϑ , J ) .
Domenico Perrone
doaj   +1 more source