Results 31 to 40 of about 100,933 (264)
Combinatorial descriptions of the crystal structure on certain PBW bases [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Lusztig's theory of PBW bases gives a way to realize the crystal B(∞) for any simple complex Lie algebra where the underlying set consists of Kostant partitions. In fact, there are many different such realizations, one for each reduced expression for the
Ben Salisbury +2 more
doaj +1 more source
Disjointness of a Simple Matrix Lie Group and Its Lie Algebra
Vietnam Journal of Mathematics, 2023 Let $G$ be a connected closed subgroup of $\mathrm{GL}_n(\mathbb{C})$ which is simple as a Lie group and which acts irreducibly on $\mathbb{C}^n$. Regarding both $G$ and its Lie algebra $\mathfrak{g}$ as subsets of $M_n(\mathbb{C})$, we have $G\cap \mathfrak{g}\neq\emptyset$ if and only if $G$ is a classical group and $\mathbb{C}^n$ is a minuscule ...
openaire +3 more sources
Molecular Oncology, EarlyView.Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
wiley +1 more source
A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds
MathematicsIn 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
Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
Doubled aspects of generalised dualities and integrable deformations
Journal of High Energy Physics, 2019 The worldsheet theories that describe Poisson-Lie T-dualisable σ-models on group manifolds as well as integrable η, λ and β-deformations provide examples of ℰ-models.
Saskia Demulder +2 more
doaj +1 more source
RG flow of integrable E-models
Physics Letters B, 2021 We compute the one- and two-loop RG flow of integrable σ-models with Poisson-Lie symmetry. They are characterised by a twist function with 2N simple poles/zeros and a double pole at infinity.
Falk Hassler
doaj +1 more source
Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source
Positively curved 6-manifolds with simple symmetry groups
Anais da Academia Brasileira de Ciências, 2002 Let M be a simply connected compact 6-manifold of positive sectional curvature. If the identity component of the isometry group contains a simple Lie subgroup, we prove that M is diffeomorphic to one of the five manifolds listed in Theorem A.Seja M uma 6-
FUQUAN FANG
doaj +1 more source
Generic simplicity of quantum Hamiltonian reductions
Comptes Rendus. Mathématique, 2021 Let a reductive group $G$ act on a smooth affine complex algebraic variety $X.$ Let $\mathfrak{g}$ be the Lie algebra of $G$ and $\mu :T^*(X)\rightarrow \mathfrak{g}^*$ be the moment map.
Tikaradze, Akaki
doaj +1 more source