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On Irreducible Representations of Space Groups
Journal of Mathematical Physics, 1965A 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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The Irreducible Representations of the Symmetric Groups
Bulletin of the London Mathematical Society, 1976This 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, 1974In 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, 1998In 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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Bounded Irreducible Representations
2021Let 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, 1952Let 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 of realC*-algebras
Acta Mathematica Sinica, 1995Summary: We show that a topologically irreducible \(*\) representation of a real \(C^*\)-algebra is also algebraically irreducible. Moreover, the properties of pure real states on a real \(C^*\)-algebra and their left kernels are discussed.
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Irvsp: To obtain irreducible representations of electronic states in the VASP
Computer Physics Communications, 2021Clas Persson +2 more
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Irreducible Representations of Supersymmetry
1979The irreducible representations of Poincare supersymmetry are derived for both massless and massive particles. Some recently discovered modifications of the representations when central charges appear in the supersymmetry algebra are also discussed.
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