Faithful irreducible representations

Journal of Algebra and Its Applications, 2021
In 1993, Sim proved that all the faithful irreducible representations of a finite metacyclic group over any field of positive characteristic have the same degree. In this paper, we restrict our attention to non-modular representations and generalize this result for — (1) finite metabelian groups, over fields of positive characteristic coprime to the ...
Kitture, Rahul Dattatraya, Pradhan, Soham Swadhin +1 more
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Some remarks on the degrees of faithful irreducible representations

Geometriae Dedicata, 1992
We study a class of finite p-groups admitting faithful irreducible complex representations of distinct degrees. In particular, for every prime p, we produce an example of such a p-group having minimal order p 8.
L. Di Martino, M. C. Tamburini
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On the n-symplectic structure of faithful irreducible representations

Journal of Mathematical Physics, 2017
Each faithful irreducible representation of an N-dimensional vector space V1 on an n-dimensional vector space V2 is shown to define a unique irreducible n-symplectic structure on the product manifold V1×V2. The basic details of the associated Poisson algebra are developed for the special case N = n2, and 2n-dimensional symplectic submanifolds are shown
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ordinary representations and characters
fos: mathematics
mathematics - representation theory

representation theory math.rt
projective representations and multipliers
algebra and number theory