Results 81 to 90 of about 1,659,781 (237)

On the Homomorphisms of the Lie Groups and

Abstract and Applied Analysis, 2013
We first construct all the homomorphisms from the Heisenberg group to the 3-sphere. Also, defining a topology on these homomorphisms, we regard the set of these homomorphisms as a topological space.
Fatma Özdemir, Hasan Özekes
doaj   +1 more source

Pro-Lie Groups: A Survey with Open Problems

Axioms, 2015
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
doaj   +1 more source

Feasibility and Tolerability of Performing Portable MRI for Neurological Disorders in an Outpatient Neurology Clinic: A Prospective Cohort

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Accessing brain magnetic resonance imaging (MRI) can be challenging, especially for underserved patients, which may lead to disparities in neurological diagnosis. Method This mixed‐methods study enrolled adults with one of four neurological disorders: mild cognitive impairment or dementia of the Alzheimer type, multiple sclerosis ...
Maya L. Mastick, Nomin Enkhtsetseg, Joseph Sadok, Matheus Mochetti, Annabel Sorby Adams, Jennifer Guo, Cristina Trapaga Hacker, Isabella Gomez Hjerthen, Seungwon Lee, Siddharth Satish, Andrew S. Ham, Justin Hill, Denis Balaban, Kevin Kyle, Rebecca L. Gillani, Marcelo Matiello, Aleksandar Videnovic, Eric C. Klawiter, W. Taylor Kimberly, Farrah J. Mateen   +19 more
wiley   +1 more source

Extension of Wang-Gong monotonicity result in semisimple Lie groups

Special Matrices, 2015
We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.
Sarver Zachary, Tam Tin-Yau
doaj   +1 more source

Complementarity of Long‐Reads and Optical Mapping in Parkinson's Disease for Structural Variants

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Long‐read sequencing and optical genome mapping technologies have the ability to detect large and complex structural variants. This has led to the discovery of novel pathogenic variants in neurodegenerative movement disorders. Thus, we aimed to systematically compare the SV detection capabilities of OGM and ONT in Parkinson's disease.
André Fienemann, Theresa Lüth, Susen Schaake, Carolin Gabbert, Marius Möller, Hauke Busch, Katja Lohmann, Jonas A. Gustafson, Danny E. Miller, Kensuke Daida, Manabu Funayama, Nobutaka Hattori, Samia Ben Sassi, Faycel Hentati, Matthew J. Farrer, Kristian K. Ullrich, Christine Klein, Joanne Trinh   +17 more
wiley   +1 more source

Developmental and Epileptic Encephalopathy due to Biallelic Pathogenic Variants in PIGM

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective PIGM encodes a critical enzyme in the glycosylphosphatidylinositol (GPI)‐anchor biosynthesis pathway. While promoter‐region mutations in PIGM have been associated with a relatively mild phenotype characterized by portal vein thrombosis and absence seizures, recent evidence suggests that coding‐region mutations result in a more severe
Júlia Sala‐Coromina, Anna Marcé‐Grau, Barbara Masotto, Marta Codina, Lamia BenJemaa, Yasmina Elaribi, Mónica Martinez‐Gallo, Roger Colobran, Angel Sanchez‐Montañez, Irene Valenzuela, Yoshiko Murakami, Alfons Macaya   +11 more
wiley   +1 more source

Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini, Alessia Casarini, Niccolò Biagioli, Laura Mirandola, Daniela Ballotta, Paul Summers, Simona Scolastico, Laura Madrassi, Maurilio Genovese, Marcella Malagoli, Gaetano Cantalupo, Giada Giovannini, Matteo Pugnaghi, Niccolò Orlandi, Laura Tassi, Valeria Cuccarini, Domenico Aquino, Elena Tartara, Fulvia Palesi, Giuseppe Didato, Paolo Vitali, the 3TLE Study Group, Roberta Di Giacomo, Fabio Doniselli, Federica Mazzi, Carlo Andrea Galimberti, Claudia A. M. Gandini Wheeler‐Kingshott, Stefano Meletti, Anna Elisabetta Vaudano   +28 more
wiley   +1 more source

Maximal Subgroups of Compact Lie Groups

, 2013
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) those of trivial type, which ...
Antoneli, Fernando, Forger, Michael, Gaviria, Paola   +2 more
core  

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

Cross Curvature Solitons of Lorentzian Three-Dimensional Lie Groups

Axioms
In this paper, we study left-invariant cross curvature solitons on Lorentzian three-dimensional Lie groups and classify these solitons.
Shahroud Azami, Mehdi Jafari, Abdul Haseeb, Abdullah Ali H. Ahmadini   +3 more
doaj   +1 more source