Results 51 to 60 of about 2,694 (314)
Dual Lie algebras of Heisenberg Poisson Lie groups
Tsukuba Journal of Mathematics, 1993 Starting point is an arbitrary Heisenberg Lie algebra \(L\) \(([L,L] = Z(L)\) with one-dimensional center \(Z(L)\)) and the set of its multiplicative Poisson structures. The authors study the dual Lie algebras induced on \(L\) by these structures.
Mikami, Kentaro, Narita, Fumio
openaire +2 more sources
Differentiated policy implementation in food safety and animal welfare policymaking
European Policy Analysis, EarlyView.Abstract Agri‐food policies are in the midst of far‐reaching transitions, including the transformation towards sustainable production and food consumption. The European Green Deal and Farm to Fork Strategy prioritize food safety and animal welfare issues, aiming to transform food systems towards more sustainability.
Giulia Bazzan, Colette S. Vogeler
wiley +1 more source
Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras
Mathematics OpenIn this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions.
Qinxiu Sun, Weiping Jiao
doaj +1 more source
Physical constraints on quantum deformations of spacetime symmetries
Nuclear Physics B, 2018 In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincaré, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent the centerpiece
Flavio Mercati, Matteo Sergola
doaj +1 more source
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
DeepSeek in Education: Exploring the Transformative Potential of AI‐Driven Educational Intelligence
Future in Educational Research, EarlyView.ABSTRACT The integration of artificial intelligence into education remains challenged by issues of scalability, interpretability, and multimodal adaptability. DeepSeek's AI‐driven educational tools show potential to improve educational applications through advances in reasoning efficiency, lightweight deployment, and multimodal fusion.
Jian Liao, Fan Sun, Yajie Liu, Yuli Hu
wiley +1 more source
Analysis and Geometry in Metric Spaces, 2014 We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
Freeman David M.
doaj +1 more source
Land Degradation &Development, EarlyView.ABSTRACT Soil disturbance resulting from forest harvesting activities can have significant and lasting environmental consequences, particularly in sensitive ecosystems such as Mediterranean forests. Skid trails, the routes used by machinery to extract timber, are among the most critical areas of impact, and their detection is critical for assessing ...
Francesco Latterini +9 more
wiley +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
Semisimple elements and the little Weyl group of real semisimple $Z_m$-graded Lie algebras [PDF]
, 2022 Willem A. de Graaf, Hông Vân Lê
openalex +1 more source