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Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem

✍ Scribed by Yu. G. Evtushenko; A. A. Tret’yakov

Book ID
114993202
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
242 KB
Volume
85
Category
Article
ISSN
1064-5624

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We present a new and constructive proof of the Peter-Weyl theorem on the representations of compact groups. We use the Gelfand representation theorem for commutative C\*-algebras to give a proof which may be seen as a direct generalization of Burnside's algorithm [3]. This algorithm computes the cha