Results 11 to 20 of about 14,701 (175)

Two theorems in the commutator calculus [PDF]

open access: yesTransactions of the American Mathematical Society, 1972
Let F = ⟨ a , b ⟩ F = \langle a,b\rangle . Let F n {F_n} be the nth subgroup of the lower central series. Let p be a prime. Let c 3 > c
openaire   +1 more source

Classical Gravity on Fuzzy Space-Time [PDF]

open access: yes, 1996
A review is made of recent efforts to find relations between the commutation relations which define a noncommutative geometry and the gravitational field which remains as a shadow in the commutative limit.Comment: Lecture given at the 30th International ...
Castellani   +32 more
core   +3 more sources

!COMMUTANT LIFTING, TENSOR ALGEBRAS, AND FUNCTIONAL CALCULUS [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2001
AbstractA non-commutative multivariable analogue of Parrott’s generalization of the Sz.-Nagy–Foia\c{s} commutant lifting theorem is obtained. This yields Tomita-type commutant results and interpolation theorems (e.g. Sarason, Nevanlinna–Pick, Carathéodory) for $F_n^\infty\,\bar{\otimes}\,\M$, the weakly-closed algebra generated by the spatial tensor ...
openaire   +1 more source

Chen Lie algebras [PDF]

open access: yes, 2003
The Chen groups of a finitely-presented group G are the lower central series quotients of its maximal metabelian quotient, G/G''. The direct sum of the Chen groups is a graded Lie algebra, with bracket induced by the group commutator.
Papadima, Stefan, Suciu, Alexander I.
core   +3 more sources

Linear connections on matrix geometries [PDF]

open access: yes, 1994
A general definition of a linear connection in noncommutative geometry has been recently proposed. Two examples are given of linear connections in noncommutative geometries which are based on matrix algebras.
Chamseddine A H   +15 more
core   +2 more sources

Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces

open access: yes, 2018
We equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as a reduction of a redundant calculus over the Moyal four dimensional space.
Marmo, Giuseppe   +2 more
core   +1 more source

Classical and quantum q-deformed physical systems

open access: yes, 2006
On the basis of the non-commutative q-calculus, we investigate a q-deformation of the classical Poisson bracket in order to formulate a generalized q-deformed dynamics in the classical regime.
241   +31 more
core   +1 more source

Higher-order pathwise theory of fluctuations in stochastic homogenization

open access: yes, 2019
We consider linear elliptic equations in divergence form with stationary random coefficients of integrable correlations. We characterize the fluctuations of a macroscopic observable of a solution to relative order $\frac{d}{2}$, where $d$ is the spatial ...
Duerinckx, Mitia, Otto, Felix
core   +1 more source

Semi- and Non-relativistic Limit of the Dirac Dynamics with External Fields [PDF]

open access: yes, 2012
We show how to approximate Dirac dynamics for electronic initial states by semi- and non-relativistic dynamics. To leading order, these are generated by the semi- and non-relativistic Pauli hamiltonian where the kinetic energy is related to $\sqrt{m^2 + \
B. Thaller   +31 more
core   +1 more source

Differential algebras on kappa-Minkowski space and action of the Lorentz algebra

open access: yes, 2012
We propose two families of differential algebras of classical dimension on kappa-Minkowski space. The algebras are constructed using realizations of the generators as formal power series in a Weyl super-algebra. We also propose a novel realization of the
Borowiec A.   +10 more
core   +1 more source

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