Results 41 to 50 of about 303 (182)
Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña +2 more
wiley +1 more source
Palatial Twistors from Quantum Inhomogeneous Conformal Symmetries and Twistorial DSR Algebras [PDF]
We construct recently introduced palatial NC twistors by considering the pair of conjugated (Born-dual) twist-deformed D=4 quantum inhomogeneous conformal Hopf algebras Uθ(su(2,2)⋉T4) and Uθ¯(su(2,2)⋉T¯4), where T4 describes complex twistor coordinates ...
Jerzy Lukierski
core +1 more source
Hecke algebras, finite general linear groups, and Heisenberg categorification
We define a category of planar diagrams whose Grothendieck group contains an integral version of the infinite rank Heisenberg algebra, thus yielding a categorification of this algebra. Our category, which is a q -deformation of one defined by Khovanov, acts naturally on the categories of
Licata, Anthony, Savage, Alistair
openaire +4 more sources
On the Meaning of Localization in Non‐Local Quantum Field Theory
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
Lie algebras: infinite generalizations and deformations [PDF]
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source
Bosonic and k-fermionic coherent states for a class of polynomial Weyl-Heisenberg algebras [PDF]
25 pagesThe aim of this article is to construct à la Perelomov and à la Barut-Girardello coherent states for a polynomial Weyl-Heisenberg algebra. This generalized Weyl-Heisenberg algebra, noted A(x), depends on r real parameters and is an extension of ...
Daoud, Mohammed, Kibler, Maurice, R.
core +1 more source
Quantum Information Measures of a Dirichlet Waveguide with Neumann Window(s)
ABSTRACT Engineering boundary conditions in low‐dimensional structures provides a simple yet powerful way of shaping how quantum information is stored and transported. We investigate a flat 2D Dirichlet waveguide containing one or two finite Neumann windows and compute the bound states in both position and momentum space as functions of the window ...
Firoz Chogle, Berihu Teklu
wiley +1 more source
Miscellaneous Applications of Quons
This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We show the interest of such algebras for fractional supersymmetric quantum mechanics, angular momentum theory and quantum ...
Maurice R. Kibler
doaj
A characterization of metaplectic time–frequency representations
Abstract We characterize all time–frequency representations that satisfy a general covariance property: any weak*‐continuous bilinear mapping that intertwines time–frequency shifts on the configuration space with time–frequency shifts on phase space is a multiple of a metaplectic time–frequency representation. This characterization offers an intrinsic,
Karlheinz Gröchenig, Irina Shafkulovska
wiley +1 more source

