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The Irreducible Unitary Representation of SU(2) and Its Lie algebra Representations

Edi Kurniadi, Badrulfalah Badrulfalah, Nurul Gusriani   +2 more
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Phonon-Induced Geometric Chirality. [PDF]

ACS Nano
Romao CP, Juraschek DM.
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Irreducible representation and projection operator application to understanding nonlinear optical phenomena: hyper-Raman, sum frequency generation, and four-wave mixing spectroscopy.

Journal of Physical Chemistry A, 2006
Symmetry plays an essential role in understanding optical activities of a molecule in infrared and Raman vibrational spectroscopy as well as in nonlinear optical vibrational spectroscopy.
Sang-Ho Lee, Jie Wang, S. Krimm, Zhan Chen   +3 more
semanticscholar   +1 more source

Unitary representations of the (4+1)‐de Sitter group on irreducible representation spaces of the Poincaré group

, 1983
The construction of the principal continuous series of unitary representations of the simply‐connected covering group of the (4+1)‐de Sitter group on unitary irreducible representation spaces of the Poincare group is presented.
P. Moylan
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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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Unitary representations of the (4+1) de Sitter group on unitary irreducible representation spaces of the Poincaré group: Equivalence with their realizations as induced representations

, 1985
In a previous work we have constructed realizations of the principal continuous series of unitary irreducible representations of the simply connected covering group of the (4+1) de Sitter group on unitary irreducible representation spaces of the simply ...
P. Moylan
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Extensions of irreducible representations

Applicable Algebra in Engineering, Communication and Computing, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Projected basis set for the irreducible representation {2N/2−S,12S}ofU(n)

, 1978
The transformation properties of a projected basis for the irreducible representation (IR), {2N/2−S,12S}, of U(n) under the elementary generators of the group have been studied.
C. R. Sarma, K. Dinesha
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First-order phase transitions ind uced by a sin gle irreducible representation

, 1980
First-order phase transitions induced by a single irreducible representation which does not fulfil the Landau or (and) the Lifschitz criteria are considered.
P. Tolédano, G. Pascoli
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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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