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Lip Automorphism Germ and Lip Automorphism
Acta Mathematica Sinica, English Series, 2004A continuous map \(f: X\to Y\) between metric spaces is called a Lip map if for every \(x\in X\), there is an open neighborhood \(U_x\) of \(x\) in \(X\) such that \(f\mid U_x\) is Lipschitz. If \(f\) is a homeomorphism and \(f\) and \(f^{-1}\) are Lip maps, \(f\) is called a Lip homeomorphism. A topological \(n\)-bundle \((E,\pi,X)\) is called a Lip \(
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On Automorphism Groups of the Fields of Automorphic Functions
The Annals of Mathematics, 1972The purpose of this paper is to determine the group of all automorphisms of the field generated by automorphic functions with respect to infinitely many mutually commensurable discrete subgroups of the group of all automorphisms of a bounded symmetric domain. In the case where either the dimension of the domain is one or the quotient spaces are compact,
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2014
Conference held at the Centre de Recerca Matematica ; International ...
Guirardel, Vincent, Levitt, Gilbert
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Conference held at the Centre de Recerca Matematica ; International ...
Guirardel, Vincent, Levitt, Gilbert
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Constructing an Automorphism From an Anti-Automorphism
Canadian Mathematical Bulletin, 1968We consider the following problem: Let G be a group with distinct automorphisms β and σ and an anti-automorphism α such thatWhat can be said about G?If σ = α, σ is both an automorphism and an anti-automorphism so that G is abelian. Hence we assume that σ ≠ α.
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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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