Results 21 to 30 of about 30,476 (209)
Characterization of approximately inner automorphisms [PDF]
Proceedings of the American Mathematical Society, 1982 Let M M be a finite factor acting standardly on a Hilbert space H H . An automorphism θ \theta of M M is approximately inner on M M if and only if there exists a state ϕ \phi on B ( H ) B(H) such ...
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An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds [PDF]
Mathematica Bohemica, 2019 We study a problem of isometric compact 2-step nilmanifolds $M/\Gamma$ using some information on their geodesic flows, where $M$ is a simply connected 2-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a cocompact discrete subgroup ...
Hamid-Reza Fanaï, Atefeh Hasan-Zadeh
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$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]
, 2013 An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
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Journal of High Energy Physics, 2023 Two types of Carrollian field theories are shown to emerge from finite current-current deformations of toroidal CFT2’s when the deformation coupling is precisely fixed, up to a sign.
Pulastya Parekh +2 more
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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$X$-inner automorphisms of filtered algebras [PDF]
Proceedings of the American Mathematical Society, 1981 We continue earlier work and compute the X-inner automorphisms of the ring of differential polynomials in one variable over an arbitrary domain. This is then applied to iterated Ore extensions. We also show that the ring of generic matrices has no nonidentity automorphisms which fix the center.
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On conjugacy of maximal abelian subalgebras and the outer automorphism group of the Cuntz algebra [PDF]
, 2015 We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of maximal abelian subalgebras in On.
CONTI, ROBERTO +2 more
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On inner automorphisms and certain central automorphisms of groups
Indian Journal of Pure and Applied Mathematics, 2014 Let \(G\) be a group and \(M,N\trianglelefteq G\). By definition an automorphism \(\alpha\) of \(G\) belongs to \(\Aut^M_N(G)\) if and only if \(g^{-1}g^\alpha\in M\) for all \(g\in G\) and \(\alpha\) fixes \(N\) elementwise. The paper under review is devoted to the study of groups \(G\) in which one of the following holds: \(\mathrm{Inn}(G)=\Aut^M_N(G)
Azhdari, Zahedeh +1 more
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Inner Automorphisms of Presheaves of Groups
Applied Categorical Structures, 2023 It has been proven by Schupp and Bergman that the inner automorphisms of groups can be characterized purely categorically as those group automorphisms that can be coherently extended along any outgoing homomorphism. One is thus motivated to define a notion of (categorical) inner automorphism in an arbitrary category, as an automorphism that can be ...
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Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics
Entropy, 2020 A non-Hermitian operator H defined in a Hilbert space with inner product 〈 · | · 〉 may serve as the Hamiltonian for a unitary quantum system if it is η -pseudo-Hermitian for a metric operator (positive-definite automorphism) η .
Ali Mostafazadeh
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