scholarly journals On matrix groups with finite spectrum

1999 ◽  
Vol 286 (1-3) ◽  
pp. 287-295 ◽  
Author(s):  
Grega Cigler
2000 ◽  
Vol 24 (1) ◽  
pp. 125-134 ◽  
Author(s):  
A Olbrot
Keyword(s):  

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Clifford Cheung ◽  
Zander Moss

Abstract We argue that symmetry and unification can emerge as byproducts of certain physical constraints on dynamical scattering. To accomplish this we parameterize a general Lorentz invariant, four-dimensional theory of massless and massive scalar fields coupled via arbitrary local interactions. Assuming perturbative unitarity and an Adler zero condition, we prove that any finite spectrum of massless and massive modes will necessarily unify at high energies into multiplets of a linearized symmetry. Certain generators of the symmetry algebra can be derived explicitly in terms of the spectrum and three-particle interactions. Furthermore, our assumptions imply that the coset space is symmetric.


ISRN Algebra ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Dmitry Malinin

We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.


1992 ◽  
Vol 173 ◽  
pp. 57-76 ◽  
Author(s):  
Aleksander Simonič
Keyword(s):  

1997 ◽  
Vol 195 (2) ◽  
pp. 650-661 ◽  
Author(s):  
M.C. Tamburini ◽  
P. Zucca
Keyword(s):  

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