Results 51 to 60 of about 853,327 (326)
Distribution representations of Lie groups
Journal of Mathematical Analysis and Applications, 1978 We study representations of Lie groups in Banach spaces, particularly distribution representations (or smeared representations) and differentiable representations. These objects, which we define, are shown to be natural and useful generalizations of the classical unitary representations and the point strong operator continuous representations.
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On extensions of representations for compact Lie groups
Journal of Pure and Applied Algebra, 2003 Let $H$ be a closed normal subgroup of a compact Lie group $G$ such that $G/H$ is connected. This paper provides a necessary and sufficient condition for every complex representation of $H$ to be extendible to $G$, and also for every complex $G$-vector bundle over the homogeneous space $G/H$ to be trivial.
Cho, JH, Kim, MK, Suh, DY Suh, Dong Youp
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Integration of semidirect product Lie 2-algebras
, 2012 The semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid appearing in generalized complex geometry.
Sheng, Yunhe, Zhu, Chenchang
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From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
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Spin Hurwitz theory and Miwa transform for the Schur Q-functions
Physics Letters B, 2022 Schur functions are the common eigenfunctions of generalized cut-and-join operators which form a closed algebra. They can be expressed as differential operators in time-variables and also through the eigenvalues of auxiliary N×N matrices X, known as Miwa
A. Mironov, A. Morozov, A. Zhabin
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On the Prolongations of Representations of Lie Groups
, 2010 In this paper, we introduce a study of prolongations of representations of Lie groups. We obtain a faithful (one-to-one) representation of TG where G is a finite-dimensional Lie group and TG is the tangent bundle of G, by using (not necessarily faithful) representations of G.
KADIOĞLU, Hülya, Esin, Erdoğan
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FEBS Letters, EarlyView.Phototrophs evolved light‐harvesting systems adapted for efficient photon capture in habitats enriched in far‐red radiation. A subset of eukaryotic pigment‐binding proteins can absorb far‐red photons via low‐energy chlorophyll states known as red forms.
Antonello Amelii +8 more
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Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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Spinor symmetries and underlying properties
European Physical Journal C: Particles and Fields, 2020 By exploring a spinor space whose elements carry a spin 1/2 representation of the Lorentz group and satisfy the the Fierz–Pauli–Kofink identities we show that certain symmetries operations form a Lie group.
J. M. Hoff da Silva +3 more
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Entropy, 2023 We formulate a general program for describing and analyzing continuous, differential weak, simultaneous measurements of noncommuting observables, which focuses on describing the measuring instrument autonomously, without states.
Christopher S. Jackson, Carlton M. Caves
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