Theory of continuous groups

by Loewner, Charles

Type Book

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Title Statements

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

Edition Statements

Publication Date:1971.

Publication Statements

Publisher(s):MIT Press
Place of Publication:Cambridge, Mass
Language:eng
Publication Date:1971.

Notes

Includes index.

The Physical Object

Description:ix, 110 pages : : illustrations ; : 26 cm.

Edition Identifiers

ISBN:0262060418, 9780262060417
oclc:ocm00200172
LC Classification:QA385
Dewey Decimal:512/.2

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) -- C…