Results 21 to 30 of about 59,230 (210)

Down-up algebras at roots of unity [PDF]

Proceedings of the American Mathematical Society, 2008
Down-up algebras \(A\) over \(\mathbb{C}\) are generated by two elements and depend on three parameters in \(\mathbb{C}\). The author considers the case where \(A\) is a domain. Then \(A\) is also Noetherian and a generalized Weyl algebra. Furthermore, there is a certain commutative subalgebra \(\mathbb{C}[\xi,\eta]\) with a natural automorphism. It is
openaire   +1 more source

INVARIANT THEORY OF FINITE GROUP ACTIONS ON DOWN-UP ALGEBRAS [PDF]

Transformation Groups, 2014
47 ...
Kirkman, E., Kuzmanovich, J., Zhang, J. J.   +2 more
openaire   +3 more sources

The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories

SciPost Physics
6d (2,0) SCFTs of type $\mathfrak{g}$ have protected subsectors that were conjectured in [C. Beem et al., J. High Energy Phys. 05, 017 (2015)] to be captured by $\mathcal{W}_\mathfrak{g}$ algebras.
Mitchell Woolley
doaj   +1 more source

Construction of Gauge Theories on Curved Noncommutative Spacetime

, 2004
We present a method where derivations of star-product algebras are used to build covariant derivatives for noncommutative gauge theory. We write down a noncommutative action by linking these derivations to a frame field induced by a nonconstant metric ...
Andreas Sykora, Arnal, Calmet, Cerchiai, Cerchiai, Connes, Cornalba, Dimakis, Dimitrijevic, Felder, Jurco, Jurco, Jurco, Jurco, Kontsevich, Lorek, Madore, Madore, Madore, Madore, Majid, Manchon, Meyer, Seiberg, Wess, Wolfgang Behr   +25 more
core   +1 more source

Algebra endomorphisms and derivations of some localized down-up algebras [PDF]

Journal of Algebra and Its Applications, 2014
We study algebra endomorphisms and derivations of some localized down-up algebras A𝕊(r + s, -rs). First, we determine all the algebra endomorphisms of A𝕊(r + s, -rs) under some conditions on r and s. We show that each algebra endomorphism of A𝕊(r + s, -rs) is an algebra automorphism if rmsn = 1 implies m = n = 0.
openaire   +3 more sources

Down-up algebras and chromatic symmetric functions

, 2022
We establish Guay-Paquet's unpublished linear relation between certain chromatic symmetric functions by relating his algebra on paths to the $q$-Klyachko algebra. The coefficients in this relations are $q$-hit polynomials, and they come up naturally in our setup as connected remixed Eulerian numbers, in contrast to the computational approach of ...
Nadeau, Philippe, Tewari, Vasu
openaire   +3 more sources

Noise as a Boolean algebra of $\sigma$-fields

, 2014
A noise is a kind of homomorphism from a Boolean algebra of domains to the lattice of $\sigma$-fields. Leaving aside the homomorphism we examine its image, a Boolean algebra of $\sigma$-fields.
Tsirelson, Boris
core   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Bounds and dualities of Type II Little String Theories

Journal of High Energy Physics
We explore the symmetry structure of Type II Little String Theories and their T-dualities. We construct these theories both from the bottom-up perspective starting with seed Superconformal Field Theories, and from the top-down using F-/M-theory.
Florent Baume, Paul-Konstantin Oehlmann, Fabian Ruehle   +2 more
doaj   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

Advanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang, Max Gießübel, Pankaj Dharpure, Andrea Albert, Vira Niestierkina, Paul Mulvaney, Mukundan Thelakkat, Jürgen Köhler   +7 more
wiley   +1 more source