Results 71 to 80 of about 1,937 (197)

On the Linking Algebra of Hilbert Modules and Morita Equivalence of Locally C^*-Algebras [PDF]

Surveys in Mathematics and its Applications, 2006
In this paper we introduce the notion of linking algebra of a Hilbert module over a locally C*-algebra and we extend in the context of locally C*-algebras a result of Brown, Green and Rieffel [Pacific J., 1977] which states that two C*-algebras are ...
Maria Joita
doaj  

Differential representations of dynamical oscillator symmetries in discrete Hilbert space

Discrete Dynamics in Nature and Society, 2000
As a very important example for dynamical symmetries in the context of q-generalized quantum mechanics the algebra aa†−q−2a†a=1 is investigated.
Andreas Ruffing
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Geometric Algebras and Fermion Quantum Field Theory

Quanta
Corresponding to a finite dimensional Hilbert space $H$ with $\dim H=n$, we define a geometric algebra $\mathcal{G}(H)$ with $\dim\left[\mathcal{G}(H)\right]=2^n$. The algebra $\mathcal{G}(H)$ is a Hilbert space that contains $H$ as a subspace.
Stan Gudder
doaj   +1 more source

The Two Extremal Rays of Some Hyper–Kähler Fourfolds

Mathematische Nachrichten, Volume 299, Issue 8, Page 2161-2176, August 2026.
ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
wiley   +1 more source

Algebras and their covariant representations in quantum gravity

Journal of High Energy Physics
We study a physically motivated representation of an algebra of operators in gravitational and non gravitational theories called the covariant representation of an algebra.
Eyoab Bahiru
doaj   +1 more source

Bipolar Fuzzy Hilbert Algebras

Proyecciones (Antofagasta)
The notions of bipolar fuzzy subalgebras and bipolar fuzzy ideals of Hilbert algebras are introduced and studied in this work.There are given relationships between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal.The characterizations of a bipolar fuzzy ideal are described, as well as a requirement for a bipolar fuzzy subalgebra to be a bipolar ...
Iampan, Aiyared, Rajesh, Neelamegarajan, Princivishvamalar, J.   +2 more
openaire   +2 more sources

Inducing Coverings on Hilbert Schemes

Mathematische Nachrichten, Volume 299, Issue 8, Page 2177-2190, August 2026.
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Modular flow in JT gravity and entanglement wedge reconstruction

Journal of High Energy Physics
It has been shown in recent works that JT gravity with matter with two boundaries has a type II ∞ algebra on each side. As the bulk spacetime between the two boundaries fluctuates in quantum nature, we can only define the entanglement wedge for each side
Ping Gao
doaj   +1 more source