Results 1 to 10 of about 141,692 (159)
Faithful real representations of groups of $F$-type [PDF]
International Journal of Group Theory, 2020 Groups of $F$-type were introduced in [B. Fine and G. Rosenberger, Generalizing Algebraic Properties of Fuchsian Groups, \emph{London Math. Soc.
Benjamin Fine +2 more
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Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups [PDF]
International Journal of Group Theory, 2022 For a finite group $G$, three of the positive integers governing its representation theory over $\mathbb{C}$ and over $\mathbb{Q}$ are $p(G),q(G),c(G)$.
Soham Pradhan, B. Sury
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Faithful linear representations of bands [PDF]
Publicacions Matemàtiques, 2021 A band is a semigroup consisting of idempotents. It is proved that for any field K and any band S with finitely many components, the semigroup algebra K [S] can be embedded in upper triangular matrices over a commutative K-algebra. The proof of a theorem of Malcev [4, Theorem 10] on embeddability of algebras into matrix algebras over a field is ...
Cedó, F., Okniński, J.
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On Faithful Matrix Representations of q-Deformed Models in Quantum Optics
International Journal of Mathematics and Mathematical Sciences, 2022 Consider the q-deformed Lie algebra, tq:K^1,K^2q=1−qK^1K^2,K^3,K^1q=sK^3, K^1,K^4q=sK^4,K^3,K^2q=tK^3,K^2,K^4q=tK^4, and K^4,K^3q=rK^1, where r,s,t∈ℝ−0, subject to the physical properties: K^1 and K^2 are real diagonal operators, and K^3=K^4†, († is for ...
Latif A -M. Hanna +2 more
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HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS [PDF]
Glasgow Mathematical Journal, 2010 AbstractWe develop a general theory of Hopf image of a Hopf algebra representation, with the associated concept of inner faithful representation, modelled on the notion of faithful representation of a discrete group. We study several examples, including group algebras, enveloping algebras of Lie algebras, pointed Hopf algebras, function algebras ...
Banica, Teodor, Bichon, Julien
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Groups with Two Extreme Character Degrees and their Minimal Faithful Representations [PDF]
Mathematics Interdisciplinary Research, 2018 for a finite group G, we denote by p(G) the minimal degree of faithful permutation representations of G, and denote by c(G), the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field C.
Mahtab Delfani, Houshang Behravesh
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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Linear representations of random groups [PDF]
Bulletin of Mathematical Sciences, 2019 We show that for a fixed k ∈ ℕ, Gromov random groups with any density d > 0 have no nontrivial degree k representations over any field, a.a.s. This is especially interesting in light of the results of Agol, Ollivier and Wise that when d < 1 6 such groups
Gady Kozma, Alexander Lubotzky
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Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
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Polyhedral products, flag complexes and monodromy representations [PDF]
, 2018 This article presents a machinery based on polyhedral products that produces faithful representations of graph products of finite groups and direct products of finite groups into automorphisms of free groups $\rm Aut(F_n)$ and outer automorphisms of free
Stafa, Mentor
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