Results 101 to 110 of about 1,737,526 (356)

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, EarlyView.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

On derivations of linear algebras of a special type

Дифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov , O. A. Monakhova, O. V. Bolotnikova   +2 more
doaj   +1 more source

Solvable complemented Lie algebras [PDF]

Proceedings of the American Mathematical Society, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
openaire   +4 more sources

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Cohomologies of a Lie algebra with a derivation and applications [PDF]

Journal of Algebra, 2019
Rong Tang, Yael Fregier, Y. Sheng
semanticscholar   +1 more source

Cerebrospinal Fluid Proenkephalin Predicts Striatal Atrophy Decades before Clinical Motor Diagnosis in Huntington's Disease

Movement Disorders, EarlyView.
Abstract Background Huntington's disease (HD) is characterized by early, selective, progressive vulnerability of striatal medium spiny neurons (MSNs). Proenkephalin (PENK), a precursor of opioid peptides abundantly expressed in MSNs, is a promising biomarker of striatal integrity, but region‐specific associations and its potential for early‐stage ...
Mena Farag, Michael J. Murphy, Nicola Z. Hobbs, Michela Leocadi, Kate Fayer, Olivia Thackeray, Johan Gobom, Marc Ciosi, Amanda Heslegrave, Henrik Zetterberg, Douglas R. Langbehn, Darren G. Monckton, Edward J. Wild, Sarah J. Tabrizi, Rachael I. Scahill   +14 more
wiley   +1 more source

Lie idempotent algebras

Advances in Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

Mathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés, Ana Navarro‐Quiles, Sorina Madalina Sferle   +2 more
wiley   +1 more source

ON LOCALLY DEFINED FORMATIONS OF SOLUBLE LIE AND LEIBNIZ ALGEBRAS [PDF]

, 2012
Donald W. Barnes
openalex   +1 more source

Lie Algebra Theory without Algebra [PDF]

, 2009
This is an expository paper in which we explain how basic, standard, results about simple Lie algebras can be obtained by geometric arguments, following ideas of Cartan, Richardson and others.
openaire   +2 more sources