Results 81 to 90 of about 224,740 (268)
Journal of Lie Theory, 2000 We extend the Nambu bracket to 1-forms. Following the Poisson-Lie case, we define Nambu-Lie groups as Lie groups endowed with a multiplicative Nambu structure. A Lie group G with a Nambu structure P is a Nambu-Lie group iff P=0 at the unit and the Nambu bracket of left (right) invariant forms is left (right) invariant.
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FEBS Open Bio, EarlyView.Repair of neuronal DNA damage in Alzheimer's disease by KCL‐286. (A) Amyloid‐β oligomers and plaques impair neuronal DNA repair pathways, leading to DNA double‐strand breaks and glial activation. (B) KCL‐286 activates RARβ/RXR signalling via retinoic acid response elements (RAREs), associated with increased BRCA1 expression, enhanced DNA repair and ...
Natasha Hill +6 more
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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
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Super‐Refractory Status Epilepticus (SRSE) is a rare, life‐threatening neurological emergency with unclear etiology in many cases. Mitochondrial dysfunction, often due to disease‐causing genetic variants, is increasingly recognized as a cause, with each gene producing distinct pathophysiological mechanisms.
Pouria Mohammadi +2 more
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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 +11 more
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Notes on G2: The Lie algebra and the Lie group [PDF]
Differential Geometry and its Applications, 2018 These notes have been prepared for the Workshop on "(Non)-existence of complex structures on $\mathbb{S}^6$", to be celebrated in Marburg in March, 2017. The material is not intended to be original. It contains a survey about the smallest of the exceptional Lie groups: $G_2$, its definition and different characterizations joint with its relationship ...
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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 +28 more
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Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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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 +8 more
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Cross Curvature Solitons of Lorentzian Three-Dimensional Lie Groups
AxiomsIn this paper, we study left-invariant cross curvature solitons on Lorentzian three-dimensional Lie groups and classify these solitons.
Shahroud Azami +3 more
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