Definition of Automorphisms

1. Noun. (plural of automorphism) ¹

¹ Source: wiktionary.com

Definition of Automorphisms

1. automorphism [n] - See also: automorphism

Lexicographical Neighbors of Automorphisms

automobile tire
automobile traffic
automobile trunk
automobiled
automobileless
automobiles
automobilia
automobiling
automobilist
automobilists
automobilities
automobility
automorphic
automorphic number
automorphism
automorphisms (current term)
automorphy
automotive
automotive engineer
automotive engineering
automotive technology
automotive vehicle
automount
automounted
automounter
automounters
automounting
automounts
automous
automysophobia

Literary usage of Automorphisms

Below you will find example usage of this term as found in modern and/or classical literature:

1. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"JACOBI TRIPLES DEFINED BY automorphisms OF LIE ALGEBRAS Following a suggestion ... It is also shown in this reference how such automorphisms are related to ..."

2. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"As for any mathematical structure, we can consider its automorphisms. They play an especially important role in quantum mechanics and group representation ..."

3. Sophus Lie's 1880 Transformation Group Paper by Sophus Lie, Robert Hermann (1975)
"INNER automorphisms AND DERIVATIONS Let C be a Lie algebra. (In order to have everything said in this chapter hold rigorously, it will be necessary to ..."

4. Yang-Mills, Kaluza-Klein, and the Einstein Program by Robert Hermann (1978)
"automorphisms Let Y be a manifold with a closed two-form to. Let it: Y + H be a submersion. The Cauchy characteristics define curves in Y; projected down to ..."

5. Spinors, Clifford, and Cayley Algebras by Robert Hermann (1974)
"automorphisms OF THE CAYLEY ALGEBRA Let the ground field K now be the real numbers, R, and let A be the Cayley algebra over R. Denote the product in A by ..."

6. Topics in the Mathematics of Quantum Mechanics by Robert Hermann (1973)
"LINEAR AND ANTI-LINEAR automorphisms OF COMPLEX PROJECTIVE SPACE Let H be a complex vector space, (not necessarily finite dimensional) with a Hilbert space ..."

7. An Introduction to the Theory of Groups of Finite Order by Harold Hilton (1908)
"If G admits of no outer automorphisms and the central C = 1, ... A complete group is simply isomorphic with its group of automorphisms. Ex. 6. ..."

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