scholarly journals Induced 3-Lie algebras, superalgebras and induced representations

2020 ◽  
Vol 69 (2) ◽  
pp. 116
Author(s):  
V Abramov ◽  
P Lätt

1993 ◽  
Vol 02 (supp01) ◽  
pp. 119-135
Author(s):  
D.J. ROWE

A brief overview is given of some of the ways VCS theory can be used to generate boson and rotor expansions of Lie groups. It is demonstrated by examples that such representations are a powerful aid in computing the explicit matrices of the irreducible representations needed in the application of Lie groups and Lie algebras in physics. It is shown that VCS theory is a theory of induced representations and that it has some advantages over other inducing constructions. Boson and rotor expansions are applied to the microscopic theory of nuclear rotations and it is shown that, in addition to providing algorithms for the calculation of the representation matrices needed, these expansions also provide new perspectives on the theory which enable it to be extended to include intrinsic nucleon spin degrees of freedom and the adiabatic mixing of representations.









Author(s):  
Josi A. de Azcárraga ◽  
Josi M. Izquierdo
Keyword(s):  


2018 ◽  
Vol 2018 (2) ◽  
pp. 43-49
Author(s):  
R.K. Gaybullaev ◽  
Kh.A. Khalkulova ◽  
J.Q. Adashev


2018 ◽  
Author(s):  
Joel Eduardo Martinez ◽  
Lauren Feldman ◽  
Mallory Feldman ◽  
Mina Cikara

Scholars from across the social and media sciences have issued a clarion call to address a recent resurgence in criminalized characterizations of immigrants. Do these characterizations meaningfully impact individuals’ beliefs about immigrants and immigration? Across two online convenience samples (N = 1,054 adult U.S. residents), we applied a novel analytic technique to test how different narratives—criminal, achievement, struggle-oriented—impact cognitive representations of German, Russian, Syrian, and Mexican immigrants and the concept of “immigrants” in general. All stories featured male targets. Achievement stories homogenized individual immigrant representations whereas both criminal and struggle-oriented stories racialized them along a white/non-white axis: Germany clustered with Russia, Syria with Mexico. However, criminal stories were unique in making our most egalitarian participants’ representations as differentiated as our least egalitarian participants’. Narratives about individual immigrants also generalized to update representations of nationality groups. Most important, narrative-induced representations correlated with immigration policy preferences: achievement narratives and corresponding homogenized representations promoted preferences for less restriction, criminal narratives for more.



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