Results 61 to 70 of about 1,578,942 (334)
Abstract Background Conventional approaches for emergent or expedited palliative radiotherapy (RT) involve the application of cumbersome vendor‐provided solutions and/or multiple patient appointments to complete the RT workflow within a compressed timeframe.
Riley C. Tegtmeier+11 more
wiley +1 more source
Disjointness of a simple matrix Lie group and its Lie algebra [PDF]
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 ...
arxiv
Generalized moonshine II: Borcherds products
The goal of this paper is to construct infinite dimensional Lie algebras using infinite product identities, and to use these Lie algebras to reduce the generalized moonshine conjecture to a pair of hypotheses about group actions on vertex algebras and ...
Carnahan, Scott
core +2 more sources
A review of artificial intelligence in brachytherapy
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen+4 more
wiley +1 more source
About Periodic Shunkov Group Saturated with Finite Simple Groups of Lie Type Rank 1
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
A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds
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
Miniscule representations, Gauss sum and modular invariance [PDF]
After explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra.
Wu, Siye
core +1 more source
Abstract Background FLASH has been shown to spare normal tissue toxicity while maintaining tumor control. However, existing irradiation platforms and dosimetry are not compatible. Consequently, an abundance of FLASH delivery devices and new dosimetry across all modalities has been created.
Justin DeFrancisco, Siyong Kim
wiley +1 more source
An Integrability Condition for Simple Lie Groups II [PDF]
It is shown that a simple Lie group $G$ ($ \neq {\rm SL}_2$) can be locally characterised by an integrability condition on an $\operatorname{Aut}(\mathfrak{g})$ structure on the tangent bundle, where $\operatorname{Aut}(\mathfrak{g})$ is the automorphism group of the Lie algebra of $G$.
openaire +4 more sources
Generic simplicity of quantum Hamiltonian reductions
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