Results 311 to 320 of about 789,472 (346)

Bounded Irreducible Representations

Springer Monographs in Mathematics, 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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5 Irreducible Representations

2016
Clifford-Munn-Ponizovskiĭ theory, developed in Clifford [Cli42], Munn [Mun55, Mun57b, Mun60], and Ponizovskiĭ [Pon58] (and in further detail in [LP69, RZ91]), gives a bijection between equivalence classes of irreducible representations of a finite monoid and equivalence classes of irreducible representations of its maximal subgroups (taken one per ...
B. Steinberg
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Irreducible Bases (Representations) [PDF]

, 2007
An irreducible basis (IRB) is the basis for the representations of the algebra, g, (and the associated group, G), and the basis upon which the elements of the algebra, X ρ ∈ g, act. It will be denoted by \(\mathcal{B}.\)
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Continuous symmetry measures of irreducible representations: application to molecular orbitals.

Physical Chemistry, Chemical Physics - PCCP, 2012
The formalism of continuous symmetry measures is extended to describe the extent to which a function, such as a molecular orbital, transforms under the symmetry operations of a given point group according to each irreducible representation of this group.
P. Alemany, D. Casanova, S. Alvarez
semanticscholar   +1 more source

Extensions of irreducible representations

Applicable Algebra in Engineering, Communication and Computing, 1996
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Irreducible representations of alternative algebras [PDF]

Mathematical Notes of the Academy of Sciences of the USSR, 1979
The study of right representations of alternative algebras was continued in the joint paper of A. M. Slin'ko and the author [2]. In particular, it was shown in that paper that the result of Zhevlakov remains true for an arbitrary alternative algebra A such that 6A = A.
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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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IRREDUCIBLE REPRESENTATIONS OF An WITH A 1-DIMENSIONAL WEIGHT SPACE

, 2010
. In this paper we classify all irreducible linear representations of the simple Lie algebra An which admit a one-dimensional weight space with respect to some Cartan subalgebra H of An.
D. Britten, F. W. LEMIRE1
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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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The Minimal Polynomials of Unipotent Elements in Irreducible Representations of the Classical Groups in Odd Characteristic

, 2009
The minimal polynomials of the images of unipotent elements in irreducible rational representations of the classical algebraic groups over fields of odd characteristic are found.
I. Suprunenko
semanticscholar   +1 more source