Publisher: Springer; 1972 edition (December 14, 2012)
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The illustration idea of in the community compact teams has been vig orously built some time past twenty-five years or so; of many of the branches of this concept, probably the most appealing (and bold) is the illustration conception of semi-simple Lie teams which, to a superb quantity, is the construction of a unmarried guy: Harish-Chandra. the executive aim of the current quantity and its speedy successor is to supply a fairly self-contained creation to Harish-Chandra's idea. Granting cer tain simple necessities (cf. infra), we've got made an attempt to offer complete info and whole proofs of the theorems on which the speculation rests. The constitution of this quantity and its successor is as follows. each one ebook is split into chapters; each one bankruptcy is split into sections; every one part into numbers. We then use the decimal procedure of reference; for instance, 1. three. 2 refers back to the moment quantity within the 3rd component of the 1st bankruptcy. Theorems, Propositions, Lemmas, and Corollaries are indexed consecutively all through any given quantity. Numbers that are set in high quality print will be passed over at a primary interpreting. there are a number of examination ples scattered in the course of the textual content; the reader, if he's so susceptible, can view them as workouts advert libitum. The Appendices to the textual content acquire definite ancillary effects with a purpose to be used off and on within the systematic exposi tion; a reference of the shape A2.