Results 1 to 10 of about 166,274 (327)
Irreducible Modular Representations of the Reflection Group G(m,1,n) [PDF]
Journal of Mathematics, 2015 In an article published in 1980, Farahat and Peel realized the irreducible modular representations of the symmetric group. One year later, Al-Aamily, Morris, and Peel constructed the irreducible modular representations for a Weyl group of type Bn.
José O. Araujo +2 more
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Journal of High Energy Physics, 2019 We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N $$ \mathcal{N} $$ = 2 theories where such structures a priori are not manifest.
Miranda C.N. Cheng +4 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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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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Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory [PDF]
, 2004 We define extended SL(2,R)/U(1) characters which include a sum over winding sectors. By embedding these characters into similarly extended characters of N=2 algebras, we show that they have nice modular transformation properties. We calculate the modular
A Pakman +20 more
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Strong modularity of reducible Galois representations [PDF]
, 2016 In this paper, we call strongly modular those reducible semi-simple odd mod $l$ Galois representations for which the conclusion of the strongest form of Serre's original modularity conjecture holds.
Billerey, Nicolas, Menares, Ricardo
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Neutrino masses and mixing from double covering of finite modular groups
Journal of High Energy Physics, 2019 We extend the even weight modular forms of modular invariant approach to general integral weight modular forms. We find that the modular forms of integral weights and level N can be arranged into irreducible representations of the homogeneous finite ...
Xiang-Gan Liu, Gui-Jun Ding
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