Results 41 to 50 of about 579,929 (244)

Projections in fullC *-algebras of semisimple Lie groups

Mathematische Annalen, 1992
Let \(G\) be a locally compact group. Denote by \(C^*(G)\) the full \(C^*\)-algebra of \(G\), and by \(\mathcal K\) the algebra of compact operators on the infinite-dimensional separable Hilbert space. The main result of the paper runs as follows: let \(G\) be a semisimple Lie group with finite centre; there is no nonzero projection in \(C^*(G)\otimes{\
openaire   +1 more source

Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content

Advanced Science, EarlyView.
Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri, A. Mangiarotti, C. N. Z. Schmitt, R. Dimova   +3 more
wiley   +1 more source

Applications of Mutations in the Derived Categories of Weighted Projective Lines to Lie and Quantum Algebras [PDF]

International Mathematics Research Notices, 2018
Abstract Let $\textrm{coh}\ \mathbb{X}$ be the category of coherent sheaves over a weighted projective line $\mathbb{X}$ and let $D^b(\textrm{coh}\ \mathbb{X})$ be its bounded derived category. The present paper focuses on the study of the right and left mutation functors arising in $D^b(\textrm{coh}\ \mathbb{X})$ attached to certain ...
Deng, Bangming, Ruan, Shiquan, Xiao, Jie
openaire   +2 more sources

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

Mapping the Innovation DNA of Agribusiness Firms: A Multi‐Method Analysis of Strategic Capabilities and Performance

Agribusiness, EarlyView.
ABSTRACT Innovation is essential for competitiveness in agribusiness facing dynamic environments. This study examines how market orientation, marketing, relational, and social capabilities influence innovation performance. Using data from 751 Spanish firms and a multi‐method approach that integrates Structural Equation Modeling (PLS‐SEM), Necessary ...
Beatriz Corchuelo Martínez‐Azúa, Alvaro Dias   +1 more
wiley   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Varieties of four-dimensional gauge theories

Journal of High Energy Physics
We use algebraic geometry to study the anomaly-free representations of an arbitrary gauge Lie algebra for 4-dimensional spacetime fermions. For irreducible representations, the problem reduces to studying the Lie algebras 𝔰𝔲 n for n ≥ 3.
Ben Gripaios, Khoi Le Nguyen Nguyen
doaj   +1 more source

On affine motions with one-dimensional orbits in common spaces of paths

Дифференциальная геометрия многообразий фигур
The concept of a common path space was introduced by J. Duqlas. M. S. Knebelman was the first to consider affine and projective move­ments in these spaces. The general path space is a generalization of the space of affine connectivity.
N. D. Nikitin, O. G. Nikitina
doaj   +1 more source

Projective Modules and Blocks of Supersolvable Restricted Lie Algebras

Journal of Algebra, 1999
The author investigates the projective indecomposable modules for reduced universal enveloping algebras of finite-dimensional supersolvable restricted Lie algebras, thus generalizing or improving results in earlier papers [Arch. Math. 65, 495-500 (1995; Zbl 0853.17019) and J. Algebra 183, 396-419 (1996; Zbl 0859.17010)].
openaire   +2 more sources