Results 51 to 60 of about 3,742 (131)

Applying projective functors to arbitrary holonomic simple modules

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 2, August 2024.
Abstract We prove that applying a projective functor to a holonomic simple module over a semisimple finite‐dimensional complex Lie algebra produces a module that has an essential semisimple submodule of finite length. This implies that holonomic simple supermodules over certain Lie superalgebras are quotients of modules that are induced from simple ...
Marco Mackaay   +2 more
wiley   +1 more source

On a Class of Nodal Noncommutative Jordan Algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1967
where f-g is the product of f=f(x1, . . ., xn) and g=g(x1, . . ., xn) in Bn and the = 1[xi, xj] = (xixj -xjxi) are arbitrary except for the proviso that at least one of them is nonsingular. That is, there must exist a cij = aij1 + wij with aij =0. This implies that n ? 2. The class K was constructed by L.
openaire   +1 more source

Positive contractive projections on noncommutative $\mathrm{L}^p$-spaces

open access: yes, 2020
In this paper, we prove the first theorems on contractive projections on general noncommutative $\mathrm{L}^p$-spaces associated with non-type I von Neumann algebras where $1 < p < \infty$.
Arhancet, Cédric
core  

On representations of dialgebras and conformal algebras

open access: yes, 2011
In this note, we observe a relation between dialgebras (in particular, Leibniz algebras) and conformal algebras. The purpose is to show how the methods of conformal algebras help solving problems on dialgebras, and, conversely, how the ideas of ...
Kolesnikov, Pavel
core   +1 more source

Soft Riemann‐Hilbert problems and planar orthogonal polynomials

open access: yesCommunications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.
Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley   +1 more source

Sig‐Wasserstein GANs for conditional time series generation

open access: yesMathematical Finance, Volume 34, Issue 2, Page 622-670, April 2024.
Abstract Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high‐dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability distributions induced by time‐series data.
Shujian Liao   +5 more
wiley   +1 more source

The Quantum Gromov-Hausdorff Propinquity [PDF]

open access: yes, 2013
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
core   +2 more sources

On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
wiley   +1 more source

Noncommutative differential calculus for Moyal subalgebras

open access: yes, 2004
We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction.
A. Zampini   +14 more
core   +1 more source

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and coding theory.
Muhammad Nadeem   +6 more
wiley   +1 more source

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