Ergodic theory, group representations, and rigidity
نویسندگان
چکیده
منابع مشابه
Entropy, Smooth Ergodic Theory, and Rigidity of Group Actions
This is a preliminary version of lecture notes based on a 6 hour course given at the workshop Dynamics Beyond Uniform Hyperbolicity held in Provo, Utah June 2017. The goal of this course is two-fold. First we will present a number of tools and results in the smooth ergodic theory of actions of higher-rank abelian groups including Lyapunov exponents, metric entropy, and the relationship between ...
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6Hall, B. D., and S. Spiegelman, these PROCEEDINGS, 47,137(1961). 7Nygaard, A. P., and B. D. Hall, Biochem. Biophys. Res. Comm., 12, 98 (1963). 8 Adams, M. H., Bacteriophages (New York: Interscience Publishers, Inc., 1959), p. 446. 9 Kellenberger. G., M. L. Zichichi, and J. J. Weigle, these PROCEEDINGS, 47, 869 (1961). 10 Weigle, J., M. Meselson, and K. Paigen, J. Mot. Biol., 1, 379 (1960). 11 ...
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In this paper, we provide an introduction to the representation theory of finite groups. We begin by defining representations, G-linear maps, and other essential concepts before moving quickly towards initial results on irreducibility and Schur’s Lemma. We then consider characters, class functions, and show that the character of a representation uniquely determines it up to isomorphism. Orthogo...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1982
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1982-15005-4