Results 51 to 60 of about 8,161 (245)
Second cohomology for finite groups of Lie type
Journal of Algebra, 2012 Let $G$ be a simple, simply-connected algebraic group defined over $\mathbb{F}_p$. Given a power $q = p^r$ of $p$, let $G(\mathbb{F}_q) \subset G$ be the subgroup of $\mathbb{F}_q$-rational points. Let $L(λ)$ be the simple rational $G$-module of highest weight $λ$.
Boe, Brian D. +15 more
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Advanced Functional Materials, EarlyView.A printed superparamagnetic nanoparticle‐based flux guide enables the realization of a hysteresis‐free three‐axis magnetic sensor. This innovative architecture efficiently redirects out‐of‐plane fields to planar sensing elements, facilitating simultaneous vector detection without complex reset protocols.
Changyeop Jeon +10 more
wiley +1 more source
Representations of Finite Groups of Lie Type [PDF]
, 1991 This book is based on a graduate course taught at the University of Paris. The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the results that can be deduced from it.
François Digne, Jean Michel
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On the Vanishing Ranges for the Cohomology of Finite Groups of Lie Type [PDF]
International Mathematics Research Notices, 2011 The computation of the cohomology for finite groups of Lie type in the describing characteristic is a challenging and difficult problem. In earlier work, the authors constructed an induction functor which takes modules over the finite group of Lie type to modules for the ambient algebraic group G.
Bendel, Christopher P. +2 more
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Electrospun Wood‐Derived Biopolymers as Electrodes in Electrochemical Energy Storage Technologies
Advanced Functional Materials, EarlyView.Electrospinning transforms wood‐derived cellulose and lignin into architecturally defined, binder‐free carbon electrodes with tuneable porosity and functionality. This review shows how fibre design enables decoupled charge and mass transport, enhancing performance across battery systems, while identifying key challenges in spinnability, scalability ...
Michael W. Thielke +3 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou +6 more
wiley +1 more source
Bismuth‐Based Photocatalysts for Water Remediation: Design Strategies, Mechanisms, and Challenges
Advanced Functional Materials, EarlyView.This review highlights representative design strategies for bismuth‐based semiconductor photocatalysts in solar‐driven water purification. Emphasis is placed on electronic structure regulation, oxygen‐vacancy engineering, and interfacial coupling to enable efficient full‐spectrum light utilization, improved charge separation, and selective oxidation in
Shan Liu +9 more
wiley +1 more source
On the shortest identity in finite simple groups of Lie type [PDF]
Journal of Group Theory, 2011 AbstractWe prove that the length of the shortest identity in a finite simple group of Lie type of ...
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Advanced Functional Materials, EarlyView.A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
wiley +1 more source
Interaction‐Driven Assembly Pathways in Heterogeneous Active Microrobotic Systems
Advanced Functional Materials, EarlyView.Peanut‐ and cube‐shaped light‐powered microrobots exhibit distinct magnetic and photocatalytic responses that determine their heterogeneous self‐assembly. In the dark, magnetic dipole interactions drive colloidal copolymerization with cubes acting as nucleation centers, whereas under light irradiation, phoretic interactions compete with magnetic ...
Domenico Calabrò +5 more
wiley +1 more source