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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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An Introduction to p-Modular Representations of p-Adic Groups [PDF]
Advances in Group Theory and Applications, 2023 These lecture notes offer a self-contained introduction to p-modular representations of p-adic groups, with a special focus on the general linear group GL2(F) and the special linear group SL2(F) when F is a finite extension of the field of p-adic numbers.
Ramla Abdellatif
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Rings of invariants for modular representations of the Klein four group [PDF]
, 2013 We study the rings of invariants for the indecomposable modular representations of the Klein four group. For each such representation we compute the Noether number and give minimal generating sets for the Hilbert ideal and the field of fractions.
Müfit Sezer, R. Shank
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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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Antiunitary representations and modular theory [PDF]
, 2017 Antiunitary representations of Lie groups take values in the group of unitary and antiunitary operators on a Hilbert space H. In quantum physics, antiunitary operators implement time inversion or a PCT symmetry, and in the modular theory of operator ...
K. Neeb, G. Ólafsson
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Rings of invariants for modular representations of elementary abelian p-groups [PDF]
Transformation groups, 2011 We initiate a study of the rings of invariants of modular representations of elementary abelian p-groups. With a few notable exceptions, the modular representation theory of an elementary abelian p-group is wild.
H. E. Campbell, R. Shank, D. Wehlau
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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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Modularity of an odd icosahedral representation [PDF]
Journal de théorie des nombres de Bordeaux, 2000 In this paper, we prove that the representation ρ from G ℚ in GL
Jehanne, Arnaud, Müller, Michael
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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 +2 more
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