Results 1 to 10 of about 14,951 (166)
Modular representations of Loewy length two [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Let G be a finite p-group, K a field of characteristic p, and J the radical of the group algebra K[G]. We study modular representations using some new results of the theory of extensions of modules.
M. E. Charkani, S. Bouhamidi
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Network structure influences the strength of learned neural representations [PDF]
Nature CommunicationsFrom sequences of discrete events, humans build mental models of their world. Referred to as graph learning, the process produces a model encoding the graph of event-to-event transition probabilities.
Ari E. Kahn +6 more
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Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems
Journal of High Energy Physics, 2022 We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one.
Daniele Dorigoni +2 more
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An insula hierarchical network architecture for active interoceptive inference
Royal Society Open Science, 2022 In the brain, the insular cortex receives a vast amount of interoceptive information, ascending through deep brain structures, from multiple visceral organs.
Alan S. R. Fermin +2 more
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A characterization of the relation between two $\ell $-modular correspondences
Comptes Rendus. Mathématique, 2020 Let $F$ be a non archimedean local field of residual characteristic $p$ and $\ell $ a prime number different from $p$. Let $\mathrm{V}$ denote Vignéras’ $\ell $-modular local Langlands correspondence [7], between irreducible $\ell $-modular ...
Kurinczuk, Robert, Matringe, Nadir
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Ordinary representations and modular forms [PDF]
Proceedings of the National Academy of Sciences, 1997 Let \(p\) be a prime, and fix on embedding of \(\overline{\mathbb{Q}}\) into \(\overline{\mathbb{Q}}_p\). Let \(f\) be a new form of weight \(k\geq 2\), level \(N\) and character \(\psi\). Let \(\rho_f: \text{Gal} (\overline{\mathbb{Q}}/ \mathbb{Q})\to \text{GL}_2 (\overline{\mathbb{Q}}_p)\) be a continuous representation attached to \(f\) by Eichler ...
Skinner, C. M., Wiles, A. J.
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Coxeter Orbits and Modular Representations [PDF]
Nagoya Mathematical Journal, 2006 AbstractWe study the modular representations of finite groups of Lie type arising in the cohomology of certain quotients of Deligne-Lusztig varieties associated with Coxeter elements. These quotients are related to Gelfand-Graev representations and we present a conjecture on the Deligne-Lusztig restriction of Gelfand-Graev representations. We prove the
Bonnafé, Cédric, Rouquier, Raphaël
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Computing mod ℓ Galois representations associated to modular forms for small primes
AIMS Mathematics, 2023 In this paper, we propose an algorithm for computing mod $ \ell $ Galois representations associated to modular forms of weight $ k $ when $ \ell < k-1 $. We also present the corresponding results for the projective Galois representations. Moreover, we
Peng Tian +2 more
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New A 4 lepton flavor model from S 4 modular symmetry
Journal of High Energy Physics, 2020 We study a flavor model with A 4 symmetry which originates from S 4 modular group. In S 4 symmetry, Z 2 subgroup can be anomalous, and then S 4 can be violated to A 4.
Tatsuo Kobayashi +4 more
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Modular binary octahedral symmetry for flavor structure of Standard Model
Journal of High Energy Physics, 2023 We have investigated the modular binary octahedral group 2O as a flavor symmetry to explain the structure of Standard Model. The vector-valued modular forms in all irreducible representations of this group are constructed. We have classified all possible
Gui-Jun Ding +3 more
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