Results 11 to 20 of about 15,050 (265)

3d modularity

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, Sungbong Chun, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison   +4 more
doaj   +1 more source

Irreducible Modular Representations of the Reflection Group G(m,1,n)

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, Tim Bratten, Cesar L. Maiarú   +2 more
doaj   +1 more source

Modularity of Galois representations [PDF]

Journal de théorie des nombres de Bordeaux, 2003
This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, p-adic Galois representations associated to holomorphic Hilbert modular newforms.
openaire   +2 more sources

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
doaj   +1 more source

Modular representations with additional conditions of the semigroup T2 × S2 .

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017
We describe matrix problems of nite type associated with modular representations of the direct product of the symmetric semigroup and symmetric group of degree 2. In each case we obtain an explicit classication of the corresponding representations.
В. М. Бондаренко, Е. М. Костишин   +1 more
doaj   +1 more source

Fermion mass hierarchies, large lepton mixing and residual modular symmetries

Journal of High Energy Physics, 2021
In modular-invariant models of flavour, hierarchical fermion mass matrices may arise solely due to the proximity of the modulus τ to a point of residual symmetry.
P. P. Novichkov, J. T. Penedo, S. T. Petcov   +2 more
doaj   +1 more source

Seven Small Simple Groups Not Previously Known to Be Galois Over $\mathbb{Q}$

Mathematics, 2022
In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait, Enric Florit, Núria Vila   +2 more
doaj   +1 more source

Modular A 5 symmetry for flavour model building

Journal of High Energy Physics, 2019
In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group Γ5 ≃ A 5.
P. P. Novichkov, J. T. Penedo, S. T. Petcov, A. V. Titov   +3 more
doaj   +1 more source

On the State Approach Representations of Convolutional Codes over Rings of Modular Integers

Mathematics, 2021
In this study, we prove the existence of minimal first-order representations for convolutional codes with the predictable degree property over principal ideal artinian rings.
Ángel Luis Muñoz Castañeda, Noemí DeCastro-García, Miguel V. Carriegos   +2 more
doaj   +1 more source

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

Forum of Mathematics, Sigma, 2018
We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI, DAVID LOEFFLER, SARAH LIVIA ZERBES   +2 more
doaj   +1 more source