Results 291 to 300 of about 1,357,130 (321)

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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Irreducible representations of finite groups

Physica A: Statistical Mechanics and its Applications, 1982
Abstract The Flodmark-Blokker scheme for finding irreducible representations of finite groups is sufficiently general for treating all little groups of crystallographic space groups. This scheme is generalized in two respects: (a) The case when no element has a non-degenerate eigenvalue, but the group contains a set with commuting matrix ...
Per-Olof Jansson, Stig Flodmark
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Irreducible Cartesian Tensors

, 2017
This paper considers certain simple and practically useful properties of Cartesian tensors in three‐dimensional space which are irreducible under the three‐dimensional rotation group. Ordinary tensor algebra is emphasized throughout and particular use is
J. Coope, R. F. Snider, F. McCourt
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Irreducible representations of Lorentz groups

Functional Analysis and Its Applications, 1981
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DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE

, 1984
An arbitrary square integrable real-valued function (or, equivalently, the associated Hardy function) can be conveniently analyzed into a suitable family of square integrable wavelets of constant shape, (i.e. obtained by shifts and dilations from any one
A. Grossmann, J. Morlet
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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 ...
Jean Ludwig, Ali Baklouti, Hidenori Fujiwara   +2 more
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Irreducible representations of braid groups

Journal of Mathematical Physics, 1992
The irreducible representations of the braid groups, described by the Young patterns, are obtained in terms of a set of commutant operators. The relations between our representations and the monodromy representations based on the minimal representation of the quantum enveloping algebra Uqsl(2) are discussed briefly.
Zhong‐Qi Ma, Dian‐Min Tong, Cheng‐Jiu Zhu   +2 more
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Irreducible representations of Brauer algebras

Journal of Physics A: Mathematical and General, 1995
Summary: Irreducible representations of Brauer algebras are constructed by using the induced representation and the linear equation method. As examples, some matrix representations of Brauer algebras \(D_f (n)\) with \(f \leq 5\) are presented.
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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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Irreducible representations of magnetic groups

Journal of Physics and Chemistry of Solids, 1962
Abstract The general considerations of WIGNER concerning the irreducible representations of groups containing both linear and anti-linear unitary operators are used to obtain a criterion by which the representations of such groups may be obtained. The result found by Herring for space groups is derived and the properties of the fifty-eight magnetic
J.O Dimmock, R.G. Wheeler
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