Results 61 to 70 of about 893,091 (234)

Isomorphisms of Twisted Hilbert Loop Algebras [PDF]

open access: yesCanadian Journal of Mathematics, 2017
Abstract The closest infinite-dimensional relatives of compact Lie algebras are Hilbert-Lie algebras, i.e., real Hilbert spaces with a Lie algebra structure for which the scalar product is invariant. Locally affine Lie algebras (LALAs) correspond to double extensions of (twisted) loop
Timothée Marquis, Karl-Hermann Neeb
openaire   +2 more sources

Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology [PDF]

open access: yesAdvances in Mathematics, 2016
We construct a categorification of the maximal commutative subalgebra of the type A Hecke algebra. Specifically, we propose a monoidal functor from the (symmetric) monoidal category of coherent sheaves on the flag Hilbert scheme to the (non-symmetric ...
E. Gorsky, Andrei Neguct, J. Rasmussen
semanticscholar   +1 more source

Breaking the Exponential: Decoherence‐Driven Power‐Law Spontaneous Emission in Waveguide Quantum Electrodynamics

open access: yesLaser &Photonics Reviews, EarlyView.
Introducing dynamical dephasing into the photon modes of a waveguide causes spontaneous emission to switch from conventional exponential decay to a robust power‐law behavior visible at short times. The power law arises from photon diffusion in a dynamically disordered environment, uncovering a previously unexplored, decoherence‐induced pathway to ...
Stefano Longhi
wiley   +1 more source

Maximum Entropy Models for Quantum Systems

open access: yesEntropy, 2016
We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given energy level are Gibbs states. This is a counterpart of the classical result for the algebra of all bounded linear operators on a Hilbert space and von ...
Andrzej Łuczak   +2 more
doaj   +1 more source

Hilbert Space Representation of an Algebra of Observables for q-Deformed Relativistic Quantum Mechanics

open access: yes, 1994
Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation
B. Drabant   +7 more
core   +1 more source

A characterization of nonatomic Hilbert algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
We say that a Hilbert algebra is atomic if its fulfillment is generated by its minimal projections. We prove that Hilbert algebra A \mathcal {A} is not atomic if and only if there is an infinite group G \mathcal {G} of unitary elements of the von Neumann algebra generated by A
A. Figà Talamanca, MAUCERI, GIANCARLO
openaire   +3 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Multigraded Hilbert Series of noncommutative modules

open access: yes, 2018
In this paper, we propose methods for computing the Hilbert series of multigraded right modules over the free associative algebra. In particular, we compute such series for noncommutative multigraded algebras.
La Scala, Roberto, Tiwari, Sharwan K.
core   +1 more source

Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings [PDF]

open access: yes, 2017
We present constructive versions of Krull's dimension theory for commutative rings and distributive lattices. The foundations of these constructive versions are due to Joyal, Espanol and the authors.
T. Coquand, H. Lombardi
semanticscholar   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

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