Results 1 to 10 of about 25,166 (92)
Groups with faithful irreducible projective unitary representations [PDF]
Forum Mathematicum, 2013 International audienceFor a countable group $\Gamma$ and a multiplier $\zeta \ Z^2(\Gamma,T)$, we study the property of $\Gamma$ having a unitary projective -representation which is both irreducible and projectively faithful.
Bekka, Bachir, de La Harpe, Pierre
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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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On cospectrality of gain graphs
Special Matrices, 2022 We define GG-cospectrality of two GG-gain graphs (Γ,ψ)\left(\Gamma ,\psi ) and (Γ′,ψ′)\left(\Gamma ^{\prime} ,\psi ^{\prime} ), proving that it is a switching isomorphism invariant.
Cavaleri Matteo, Donno Alfredo
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Journal of High Energy Physics, 2022 We introduce new U q sl 2 $$ {U}_{\mathfrak{q}}{\mathfrak{sl}}_2 $$ -invariant boundary conditions for the open XXZ spin chain. For generic values of q $$ \mathfrak{q} $$ we couple the bulk Hamiltonian to an infinite-dimensional Verma module on one or ...
Dmitry Chernyak +2 more
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Infinite groups admitting a faithful irreducible representation [PDF]
Journal of Algebra and Its Applications, 2018 Necessary and sufficient conditions for a group to possess a faithful irreducible representation are investigated. We consider locally finite groups and groups whose socle is essential.
Fernando Szechtman, Anatolii Tushev
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Faithful, irreducible *-representations for group algebras of free products [PDF]
Proceedings of the Edinburgh Mathematical Society, 1999 Let G be the free product of groups A and B, where |A|≥3 and |B|≥2. We construct faithful, irreducible *-representations for the group algebras ℂ[G] and ℓ1(G). The construction gives a faithful, irreducible representation for F[G] when the field F does not have characteristic 2.
Crabb, M. J., McGregor, C. M.
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Isometric Representations of Totally Ordered Semigroups [PDF]
, 2012 Let S be a subsemigroup of an abelian torsion-free group G. If S is a positive cone of G, then all C*-algebras generated by faithful isometrical non-unitary representations of S are canonically isomorphic. Proved by Murphy, this statement generalized the
G. J. Murphy +10 more
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FINITE METACYCLIC GROUPS WITH FAITHFUL IRREDUCIBLE REPRESENTATIONS [PDF]
Bulletin of the Korean Mathematical Society, 2003 Let the finite group \(G\) possess a normal cyclic subgroup \(K\) such that \(G/K\) is cyclic. In that case, the subgroup \(A=C_G(K)\) is Abelian and normal in \(G\). Then \(G\) has a faithful irreducible representation over a field \(\mathbb{F}\) if and only if it satisfies one of the following conditions: (a) The characteristic of \(\mathbb{F}\) does
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Faithful irreducible representations of modular Lie algebras [PDF]
Communications in Algebra, 2019 4 pages. In v3, the proof of the main result has been simplified. A necessary and sufficient condition for a Lie algebra over an algebraically closed field of non-zero characteristic to have a faithful irreducible module has been ...
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Automorphisms of complex reflection groups [PDF]
, 2009 Let $G\subset\GL(\BC^r)$ be a finite complex reflection group. We show that when $G$ is irreducible, apart from the exception $G=\Sgot_6$, as well as for a large class of non-irreducible groups, any automorphism of $G$ is the product of a central ...
Marin, Ivan, Michel, Jean
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