Results 81 to 90 of about 229,775 (283)
Journal of High Energy Physics, 2023 In ref. [1], we analyzed the reflected entropy (S R ) in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holographic theories, S R = 2 EW 4 G $$ {S}_R=2\frac{EW}{4G} $$ . In this paper, we discover
Chris Akers +3 more
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, 2015 Monstrous moonshine relates distinguished modular functions to the representation theory of the monster. The celebrated observations that 196884=1+196883 and 21493760=1+196883+21296876, etc., illustrate the case of the modular function j-744, whose ...
Duncan, John F. R. +2 more
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Molecular Oncology, EarlyView.Both cg12821679MAPRE3 methylation and MAPRE3 expression are significantly associated with overall survival (OS) of non‐small cell lung cancer. Meanwhile, MAPRE3 expression significantly modified the effect of smoking cessation on OS. Smoking cessation benefits OS merely for patients with high MAPRE3 expression.
Chao Chen +14 more
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Modular Representation Theory of Finite Groups [PDF]
, 2001 M. Geck, Modular Harish-Chandra series, Hecke algebras and (generalized) q-Schur algebras * J. Brundan and A. Kleshchev, Tensor products and restrictions in type A * R. Roquier, Block theory via stable and Rickard equivalences * R. Boltje, Alperin's weight conjecture in terms of linear source modules and trivial source modules * M.
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Iwasawa Theory, projective modules, and modular representations [PDF]
Memoirs of the American Mathematical Society, 2011 This paper shows that properties of projective modules over a group ring Zp[∆], where ∆ is a finite Galois group, can be used to study the behavior of certain invariants which occur naturally in Iwasawa theory for an elliptic curve E. Modular representation theory for the group ∆ plays a crucial role in this study.
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On fusing matrices associated with conformal boundary conditions
Journal of High Energy PhysicsIn the context of rational conformal field theories (RCFT) we look at the fusing matrices that arise when a topological defect is attached to a conformal boundary condition. We call such junctions open topological defects.
Anatoly Konechny, Vasileios Vergioglou
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FEBS Open Bio, EarlyView.Clinical analysis reveals significant dysregulation of FGFRL1 in esophageal cancer (EC) patients. RNAi‐coupled next‐generation sequencing (NGS) and in vitro study reveal FGFRL1‐mediated EC progression via EMT, PI3K/Akt, and Notch pathways. Functional assays confirm its role in tumor growth, migration, and invasion.
Aprajita Srivastava +3 more
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Perverse sheaves and modular representation theory
, 2008 This paper is an introduction to the use of perverse sheaves with positive characteristic coefficients in modular representation theory. In the first part, we survey results relating singularities in finite and affine Schubert varieties and nilpotent cones to modular representations of reductive groups and their Weyl groups.
Juteau, Daniel +2 more
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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Localization and duality in topology and modular representation theory
Journal of Pure and Applied Algebra, 2008 \textit{W.~G. Dwyer}, \textit{S. Iyengar} and the second author took several concepts from commutative algebra and worked out what they meant for \(\mathbb{S}\)-algebras [Adv. Math. 200, No. 2, 357-402 (2006; Zbl 1155.55302)]. Recall that in algebraic topology, an \(\mathbb{S}\)-algebra is a ring spectrum in a category of spectra whose smash product is
Benson, David J., Greenlees, J.P.C.
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