Results 31 to 40 of about 1,844 (219)
Growth of cross-characteristic representations of finite quasisimple groups of Lie type
In this paper we give a bound to the number of conjugacy classes of maximal subgroups of any almost simple group whose socle is a classical group of Lie type. The bound is $2n^{5.2}+n\log_2\log_2 q$, where $n$ is the dimension of the classical socle and $q$ is the size of the defining field.
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Bismuth‐Based Photocatalysts for Water Remediation: Design Strategies, Mechanisms, and Challenges
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
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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
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Notes on representations of finite groups of Lie type
These are the notes of some lectures given by the author for a workshop held at TIFR, Mumbai in December, 2011, giving an exposition of the Deligne-Lusztig theory.
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Interaction‐Driven Assembly Pathways in Heterogeneous Active Microrobotic Systems
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
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This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz +9 more
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The Green ring and modular representations of finite groups of Lie type
AbstractIn the setting of the Green ring, the well-known “inclusion-exclusion” principle of elementary combinatorial theory is applied to study the set of indecomposable summands of the permutation module of a Sylow p-subgroup, yielding results about these modules and their endomorphism rings.
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Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong +12 more
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AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Let \(G\) be a finite group with a split \(BN\)-pair of characteristic \(p\) satisfying the commutator relations. Let \(k\) be a splitting field for all subgroups of \(G\) such that \(\text{char}(k)=\ell\neq p\). This paper is a continuation of the work begun by the authors [in J. Algebra 168, No. 1, 182-220 (1994; Zbl 0840.20034)].
Malle, G., Geck, Meinholf, Hiss, Gerhard
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