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Theory of continuous groups / Notes by Harley Flanders and Murray H. Protter.


Cambridge, Mass. : MIT Press, 1971.
ISBN 0262060418, 9780262060417

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Subjects Continue groepen.
Continuous groups.
Groepentheorie.
Groupes continus.
Series Mathematicians of our time ; v. 1.
Description ix, 110 pages : illustrations ; 26 cm.
Copyright Date 1971.
Notes Includes index.
Contents Transformation groups -- Similarity -- Representations of groups -- Combinations of representations -- Similarity and reducibility -- Representations of cyclic groups -- Representations of finite abelian groups -- Representations of finite groups -- Representations of finite groups (continued) -- Characters -- Representations of finite groups (concluded) -- Introduction to differentiable manifolds -- Tensor calculus on a manifold -- Quantities, vectors, and tensors -- Generation of quantities by differentiation -- Commutator of two contravariant vector fields -- Hurwitz integration on a group manifold -- Hurwitz integration on a group manifold (continued) -- Representation of compact groups -- Existence of representations -- Representation of compact groups (continued) -- Characters -- Examples -- Lie groups -- Infinitesimal transformations on a manifold -- Infinitesimal transformations of a group -- Examples -- Geometry on the group space -- Parallelism -- First fundamental theorem of Lie groups -- Mayer-Lie systems -- The sufficiency proof -- First fundamental theorem; converse -- Second fundamental theorem; converse -- Converse of the second fundamental theorem (continued) -- Concept of group germ -- Converse of the third fundamental theorem -- The Helmholtz-Lie problem.
Network Numbers (OCoLC)200172
(OCoLC)ocm00200172
WorldCat Search OCLC WorldCat
WorldCat Identities Loewner, Charles, 1893-1968.
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