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Weil Representations as Globally Irreducible Representations

Mathematische Nachrichten, 1997
AbstractThe notion of globally irreducible representations of finite groups was introduced by B.H. Gross, in order to explain new series of Euclidean lattices discovered recently by N. Elkies and T. Shioda using Mordell–Weil lattices of elliptic curves. It has been observed by R.
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On the irreducible representations of the lorentz group

Annals of Physics, 1976
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Browne, Seán, Šijački, Djordje
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Irreducible Representations of the Terwilliger Algebra of a Tree

Graphs and Combinatorics, 2021
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Jing Xu, Tatsuro Ito, Shuangdong Li
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The Irreducible Representations of the Symmetric Groups

Bulletin of the London Mathematical Society, 1976
This paper constructs, for the first time, all the simple modules for the symmetric groups over an arbitrary field \(F\). For each Young diagram \(D\), the corresponding permutation module is denoted by \(V_D\). A trivial lemma shows that for every submodule \(U\) of \(V_D\), either \(U\supseteq E_D\), or \(U\subseteq E_D^\perp\), where \(E_D\) is ...
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An Irreducible Representation of sl(2)

Canadian Mathematical Bulletin, 1974
In a recent paper [1] MM. Arnal and Pinczon have classified all complex irreducible representations (ρ, V) of sl(2) having the property (P) that there exists a non-zero element x∈sl(2) such that ρ(x) admits an eigenvalue. It is the purpose of this note to demonstrate, by example, that there exist irreducible representations of sl(2) which do not have ...
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Irreducibility of standard representations for Iwahori-spherical representations

Mathematische Annalen, 1998
In the paper is given a generalization to the p-adic case of an important result of D. Vogan from the real case.
Muić, Goran, Shahidi, Freydoon
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On Irreducible Representations of Space Groups

Journal of Mathematical Physics, 1965
A logical extension has been made of Seitz-Koster's method of space-group representations to the points on the surface of the Brillouin zone, using projective representations. This method has been applied in the case of the space group D34.
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Bounded Irreducible Representations

2021
Let Open image in new window be an exponential solvable Lie group. In this chapter we characterize bounded, topologically irreducible Banach-space representations of G using triples ( Ω, τ, ∥∥), where Open image in new window is a coadjoint orbit of G, τ is a topologically irreducible representation of the algebra \(L^1({\mathbb R}^n,\omega ) \) for a ...
Ali Baklouti   +2 more
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On the Irreducible Representations of the Symmetric Group

Canadian Journal of Mathematics, 1952
Let T be a Young diagram of n nodes:(1)ai being the length of its ith row. With respect to a prime p, we denote by T0 the p-core of T. If T0 consists of m nodes, then(2) m=n-lp,where l is the number of successive p-hooks [3] removable from T to yield its p-core T0. We have stated in [4] the following theorem :
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Irreducible Representations

2020
Morikuni Goto, Frank D. Grosshans
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