We show that there are characters of compact, connected, nonabelian groups that approximate random choices of signs. The work was motivated by Kronecker's theorem on the independence of exponential functions and has applications to thin sets.
D. E. Grow and Kathryn E. Hare, "The Independence of Characters on Nonabelian Groups," Proceedings of the American Mathematical Society, American Mathematical Society, Jan 2004.
Mathematics and Statistics
Natural Sciences and Engineering Research Council of Canada
Swedish Natural Science Research Council
Keywords and Phrases
Characters; Compact Lie Groups; Compact Non-Abelian Groups; Independence
Article - Conference proceedings
© 2004 American Mathematical Society, All rights reserved.
01 Jan 2004