Results 81 to 90 of about 8,161 (245)
Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type
, 2022 Let G be a reductive algebraic group over a field of prime characteristic. One can associate to G (or subgroups thereof) its Lie algebra, its Frobenius kernels, and the finite Chevalley group of points over a finite field. The representation theories of these structures are highly interconnected.
openaire +2 more sources
Emergent Spin Supersolids in Frustrated Quantum Materials
Advanced Materials, EarlyView.This review highlights developments in the study of spin super‐solids in frustrated quantum materials. Advanced experimental characterizations and computational studies enable a comprehensive understanding of the driving mechanisms of spin super‐solidity in various layered transition‐metal compounds, bridging materials, experiments, and theory aspects.
Yixuan Huang +2 more
wiley +1 more source
Advanced Materials, EarlyView.A giant insulator to metal transition and emergent superparamagnetism are revealed by nanoparticle exsolution in non‐stoichiometric titanate perovskite thin films. By combining transport, synchrotron spectroscopy, and first‐principles calculations, this work reveals how defect reconfiguration and lattice reconstruction fundamentally reshape electronic ...
Sungil Kim +11 more
wiley +1 more source
Advanced Materials, EarlyView.Field‐programmed anisotropy imparts material‐level intelligence to soft composites. Magnetic torque dynamics drive magneto‐piezoelectric nanowires from random dispersion into deterministic axial alignment. The resulting hierarchical percolation networks confine electromechanical coupling to specific axes and intrinsically decouple superposed force ...
Yubin Kim +9 more
wiley +1 more source
Can Elastomers Combine Stiffness, Toughness and Fatigue Resistance?
Advanced Materials, EarlyView.This review studies how the molecular and macroscopic architecture of elastomers influence their mechanical properties including: stiffness, stretchability, toughness, fatigue resistance, and damping behavior. By linking the structure to performance, it proposes design principles for advanced elastomeric systems that combine mechanical properties ...
Eva Baur, Esther Amstad
wiley +1 more source
On the Dirichlet polynomial of finite groups of Lie type.
, 2006 Summary: For a given finite group \(G\) there exists a uniquely determined Dirichlet polynomial \(P_G(s)\) with the property that for \(t\in {\mathbb N}\) the number \(P_G(t)\) coincides with the probability of generating \(G\) by \(t\) randomly chosen elements.
LUCCHINI, ANDREA, DAMIAN, E.
openaire +2 more sources
Advanced Materials, EarlyView.Hydration‐induced symmetry breaking transforms layered LiInP2S6${\rm LiInP}_2{\rm S}_6$ from a nonpolar to a chiral‐polar phase, producing a giant enhancement of non‐resonant second‐harmonic generation. The reversible tuning of polar order through molecular intercalation establishes a strategy for dynamically controlling nonlinear optical ...
Jadupati Nag +8 more
wiley +1 more source
Soft Skins With Reversible Thickness Morphing: Materials, Mechanisms, and Applications
Advanced Materials, EarlyView.Evolution of electronic skin (e‐skin) technologies toward adaptive, multifunctional soft skins. Phase I highlights early rigid and discrete sensory interfaces. Phase II shows the transition toward flexible, stretchable, and large‐area e‐skin. Phase III captures the emergence of computational e‐skin.
Oliver Ozioko +2 more
wiley +1 more source
On the cohomology of finite groups of Lie type
Illinois Journal of Mathematics, 1992 Let \(q\) be the number of elements of the field \(F_ q\) of characteristic \(p\). The author proves the following theorem: Let \(G\) be a connective reductive \(F_ q\)-group scheme and let \(l\) be a prime different from \(p\). Then the following are equivalent: (i) The inclusion \(G(F_ q) \to G(F_{q^ n})\) induces an \(H^*(\;;\mathbb{Z}/l ...
openaire +3 more sources
Flax Composites With Improved Interfacial Strength Through Microbially Induced Mineral Precipitation
Advanced Materials, EarlyView.A bio‐inspired biomineralization strategy introduces an additional hierarchy to flax fiber composites. By controlling microbe‐mediated mineral particle deposition through tuned salt concentrations, stress transfer within the natural fiber composite is enhanced.
Deniz Sayinbas +5 more
wiley +1 more source