Results 21 to 30 of about 121,014 (235)
Symplectic spreads, planar functions and mutually unbiased bases [PDF]
, 2014 In this paper we give explicit descriptions of complete sets of mutually unbiased bases (MUBs) and orthogonal decompositions of special Lie algebras $sl_n(\mathbb{C})$ obtained from commutative and symplectic semifields, and from some other non-semifield
Abdukhalikov, Kanat
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Cluster automorphisms and quasi-automorphisms
Advances in Applied Mathematics, 2019 We study the relation between the cluster automorphisms and the quasi-automorphisms of a cluster algebra $\mathcal{A}$. We proof that under some mild condition, satisfied for example by every skew-symmetric cluster algebra, the quasi-automorphism group of $\mathcal{A}$ is isomorphic to a subgroup of the cluster automorphism group of $\mathcal{A}_{triv}$
Chang, Wen, Schiffler, Ralf
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Automorphisms on complex simple Lie algebras of order 3
Kuwait Journal of Science, 2022 For complex simple Lie algebras, the article provides classification of all automorphisms of order 3. The method is an extension of Dynkin diagrams, so that the classification is a listing of diagrams which represent automorphisms of order 3.
Ching-I Hsin
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On automorphism groups of Toeplitz subshifts [PDF]
, 2017 In this article we study automorphisms of Toeplitz subshifts. Such groups are abelian and any finitely generated torsion subgroup is finite and cyclic.
Donoso, Sebastián +3 more
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On the lifting of the Nagata automorphism [PDF]
, 2011 It is proved that the Nagata automorphism (Nagata coordinates, respectively) of the polynomial algebra $F[x,y,z]$ over a field $F$ cannot be lifted to a $z$-automorphism ($z$-coordinate, respectively) of the free associative algebra $K$.
A.J. Czerniakiewicz +10 more
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Automorphisms of Automorphism Groups of Free Groups
Journal of Algebra, 2000 The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
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Topological rigidity of automorphism systems
Nantong Daxue xuebao. Ziran kexue banThis paper studies the automorphism actions of countable discrete groups on the étale equivalence relations on compact metric spaces. First, the notion of continuous strong orbit equivalence for automorphism systems is introduced and it is proved that ...
QIANG Xiangqi
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, 2019 We define biquandle structures on a given quandle, and show that any biquandle is given by some biquandle structure on its underlying quandle. By determining when two biquandle structures yield isomorphic biquandles, we obtain a relationship between the ...
Horvat, Eva
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Approximation of induced automorphisms and special automorphisms [PDF]
Proceedings of the American Mathematical Society, 1978 A class of measure-preserving invertible point transformations which admit approximations is defined. If T is an automorphism which admits an approximation, conditions are given such that an induced automorphism and a special automorphism over T again admit an approximation.
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Automorphisms of free braided nonassociative algebras of rank 2
Қарағанды университетінің хабаршысы. Математика сериясыWe prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
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