Results 91 to 100 of about 9,218,372 (188)
bk$b^k$‐Algebroids and the variety of foliation jets
Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
wiley +1 more source
Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
wiley +1 more source
The conversion of amines using nonspecific peroxygenases has always presented a challenge. The use of specific protecting groups, combined with the integration of enzymatic catalysis into conventional chemical methods, opens up new possibilities for the direct and enantioselective synthesis of valuable pharmaceuticals in an innovative, cost‐effective ...
Simon Last +5 more
wiley +1 more source
Towards a Group-Theoretical Interpretation of Mechanics [PDF]
We argue that the classical description of a symplectic manifold endowed with a Hamiltonian action of an abelian Lie group G and the corresponding quantum theory can be understood as different aspects of the unitary representation theory of G.
Catren, Gabriel
core
Non-compact quantum groups arising from Heisenberg type Lie bialgebras
The dual Lie bialgebra of a certain ``quasitriangular'' Lie bialgebra structure on the Heisenberg Lie algebra determines a (non-compact) Poisson--Lie group G. The compatible Poisson bracket on G is non-linear, but it can still be realized as a ``cocycle perturbation'' of the linear Poisson bracket.
openaire +3 more sources
AbstractWe restate and prove the main theorem of the paper “Complex contact Lie groups and generalized complex Heisenberg groups”.
openaire +1 more source
Triangles in the Heisenberg Group [PDF]
In the Heisenberg Lie group with the Carnot-Caratheodory metric, we classify geodesic triangles up to isometry in terms of side-length and geodesic parameters. We obtain an angle deficit formula for Heisenberg triangles.
Cappadocia, Christopher
core +1 more source
Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most Hermitian groups, this family contains a complementary series, and at its endpoint sits a proper unitarizable subrepresentation.
Frahm, Jan; id_orcid 0000-0003-4174-5933 +2 more
openaire +2 more sources
Spin-Wellen-Berechnungen für Heisenberg-Magnete mit reduzierter Symmetrie [PDF]
The phenomenon of magnetism is a pure quantum effect and has been studied since the beginning of civilization. The practical use of magnetic materials for technical purposes was well established in the 19th century; still nowadays there is no lack of new
Kreisel, Andreas
core
Cohomology of Heisenberg Lie algebras
The cohomology of Heisenberg Lie algebras is studied and we obtain the description of cocycles, coboundaries and cohomological spaces.
L. J. Santharoubane
core +1 more source

