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Half-automorphisms of free automorphic moufang loops
Mathematical Notes, 2015In this note the authors study half-automorphisms of Moufang loops. They show that \textit{W. R. Scott}'s results [in Proc. Am. Math. Soc. 8, 1141-1144 (1958; Zbl 0080.24504)] hold for free automorphic Moufang loops. According to the authors for arbitrary automorphic Moufang loops, this is not known yet. The result of the authors is Theorem 3: Let \(A\)
Grishkov, A. +3 more
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K-Theory, 1999
Let \(E\) be an essential extension \(0\to{\mathcal K}\to E@>\pi>> A\to 0\) given by a monomorphism \(\tau: A\to\text{End}(\ell^2)/{\mathcal K}\), where \(A\) is a separable \(C^*\)-algebra, \({\mathcal K}\) is the \(C^*\)-algebra of compact operators on the Hilbert space \(\ell^2\).
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Let \(E\) be an essential extension \(0\to{\mathcal K}\to E@>\pi>> A\to 0\) given by a monomorphism \(\tau: A\to\text{End}(\ell^2)/{\mathcal K}\), where \(A\) is a separable \(C^*\)-algebra, \({\mathcal K}\) is the \(C^*\)-algebra of compact operators on the Hilbert space \(\ell^2\).
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The Automorphism Group of Plane Algebraic Curves with Singer Automorphisms
Designs, Codes and Cryptography, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Cossidente, Alessandro Siciliano
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Automorphisms that commute with a modular automorphism
Letters in Mathematical Physics, 1984It might be expected that the existence of automorphisms of the \(C^*\)- algebra A of quantum statistics that commute with the time automorphism, can give some insight into ergodic properties, as the existence of independent constants of motion do in classical dynamics.
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Smooth-Automorphic Forms and Smooth-Automorphic Representations
2021This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider "K-finite" automorphic forms, but we allow a richer class ...
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Automorphic functions and automorphic distributions
2011Section 3.2 will provide a short “dictionary” from automorphic distribution theory (in the plane) to automorphic function theory (in II): there is slightly more information in an automorphic distribution than in an automorphic function, so that pairs of automorphic functions have to be used.
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Symmetry, Automorphism, and Test
IEEE Transactions on Computers, 1979This paper shows how network symmetries (or the graph-theory concept of automorphism) can be used to cluster faults into classes and thus simplify the process of finding a test set: tests for these automorphic classes are found by classical methods and then expanded using automorphisms to produce a test-set.
Claudine Turcat, André Verdillon
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Almost Automorphic Integrals of Almost Automorphic Functions
Canadian Mathematical Bulletin, 1972Bochner has introduced the idea of almost automorphy in various contexts (see for example [1] and [2]). We shall use the following definition:A measurable real valued function f of a real variable will be called almost automorphic if from every given infinite sequence of real numbers we can extract a subsequence {αn} such that(i) exits for every real
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1990
This cardinal function is not related very much to the preceding ones. To start with, we state some general facts about the size of automorphism groups in BAs; for proofs or references, see the chapter on automorphism groups in the BA handbook.
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This cardinal function is not related very much to the preceding ones. To start with, we state some general facts about the size of automorphism groups in BAs; for proofs or references, see the chapter on automorphism groups in the BA handbook.
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1999
Abstract This chapter divides into two separate sections. The first section discusses the symplectic geometry of HnC and constructs Hamiltonian potential functions for various 1-parameter groups of automorphisms.
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Abstract This chapter divides into two separate sections. The first section discusses the symplectic geometry of HnC and constructs Hamiltonian potential functions for various 1-parameter groups of automorphisms.
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