To an algebraist the theory of group characters presents one of those fascinating situations, where the structure of an abstract system is elucidated by a unique set of numbers inherent in the system. But the subject also has a practical aspect, since group characters have gained importance in several branches of science, in which considerations of symmetry play a decisive part. This is an introductory text, suitable for final-year undergraduates or postgraduate students. The only prerequisites are a standard knowledge of linear algebra and a modest acquaintance with group theory. Especial care has been taken to explain how group characters are computed. The character tables of most of the familiar accessible groups are either constructed in the text or included amongst the exercise, all of which are supplied with solutions. The chapter on permutation groups contains a detailed account of the characters of the symmetric group based on the generating function of Frobenius and on the Schur functions. The exposition has been made self-sufficient by the inclusion of auxiliary material on skew-symmetric polynomials, determinants and symmetric functions.

This unique study makes an important contribution to our understanding of the changing problem of 'Jewishness' in a German environment as it presented itself to a privileged group of Jews. Following on from Jews in the German Economy (OUP, 1987), which analysed the economic activities of this elite, it presents a detailed picture of the group's socio-cultural profile. Based largely on autobiographical material, it covers such matters as attitudes to Judaism, relations at different levels with Gentiles and with other Jews, marriage patterns, the public role, political culture, cultural activities, and patronage. The major underlying theme is the conflict between preservation of the Jewish identity, and integration into the surrounding society. Different forms of self-identification are examined, as well as various patterns of conformity.