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Central lacunary sets for Lie groups

Published online by Cambridge University Press:  09 April 2009

A. H. Dooley
A. H. Dooley
Affiliation:
School of MathematicsUniversity of New South WalesP.O. Box 1, Kensington, N.S.W. 2033, Australia
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Abstract

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If G is a compact connected Lie group every infinite subset of Ĝ contains an infinite central Λ(p) set, for p < 2 + 2 rank G/(dim G - rank G). A subset R of Ĝ is of type central Λ(2) if and only if the associated set of characters on the maximal torus is of type Λ(2). The dual of a compact connected semisimple Lie group contains infinite sets which are central p-Sidon for all p > 1. Every infinite subset of the dual of Su(2) contains such a set.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 1 , August 1988 , pp. 30 - 45
Copyright
Copyright © Australian Mathematical Society 1988

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