Results 11 to 20 of about 17,394 (266)

SHEAVES ON THE ALCOVES AND MODULAR REPRESENTATIONS II [PDF]

Transformation Groups, 2020
We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode the simple rational characters of a reductive algebraic group in all characteristics above the ...
Fiebig, P, Lanini, M
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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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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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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 ...
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Modular Composite Representation

Cognitive Computation, 2014
High-dimensional vector spaces have noteworthy properties that make them attractive for representation models. A reduced description model is a mechanism for encoding complex structures as single high-dimensional vectors. Moreover, these vectors can be used to directly process complex operations such as analogies, inferences, and structural comparisons.
Javier Snaider, Stan Franklin
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On modular representations of A4

Journal of Algebra, 1989
The authors apply the theory of representations of groups, bimodules, species, and (hereditary) tensor algebras they developed in the seventies to the classification of all indecomposable modules of the alternating group \(A_ 4\) over a field F of characteristic two not containing a cube root of unity. The nonprojective modules of \(FA_ 4\) are modules
Dlab, Vlastimil, Ringel, Claus Michael
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On the Modular Representations of the Symmetric Group (III) [PDF]

Proceedings of the National Academy of Sciences, 1951
1. Introduction. It has been observed (2) that the number of p-regular classes of Sn, i.e. the number of classes of order prime to p, is equal to the number of partitions (λ) of n in which no summand is repeated p or more times. For this relation to hold it is essential that p be prime. It seems natural to call the Young diagram [λ] associated with (λ)
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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
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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
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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
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