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Fusion 3-Categories for Duality Defects. [PDF]
Commun Math PhysBhardwaj L +3 more
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Automorphisms of Automorphism Group of Dihedral Groups
Creative Mathematics and Informatics, 2023The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true
Sajikumar, Sadanandan +2 more
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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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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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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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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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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.
Allen C. Hibbard, Kenneth M. Levasseur
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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.
Allen C. Hibbard, Kenneth M. Levasseur
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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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