As far as i know to achieve the same objective most previous texts used either hunts idea mixed with hopf rinow theorem as in fegans introduction to compact lie groups series in pure mathematics or as in hochschilds the structure of lie groups holden day series in mathematics either a weils proof based on the lefschetz fixed point formula as in bumps lie groups graduate . Part of the graduate texts in mathematics book series gtm volume 235 log in to check access buy ebook the study of compact lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general lie groups assuming no prior knowledge of lie groups this book covers the structure and representation theory of compact lie groups included is the . Part of the graduate texts in mathematics book series gtm volume 235 abstract lie theory is the study of symmetry springing from the intersection of algebra analysis and geometry less poetically lie groups are simultaneously groups and manifolds in this section we recall the definition of a manifold see 8 or 88 for more detail let . Graduate texts in mathematics daniel bump lie groups second edition graduate texts in mathematics 225 graduate texts in mathematics series editors sheldon axler san francisco state university san francisco ca usa kenneth ribet university of california berkeley ca usa advisory board colin adams williams college williamstown ma usa alejandro adem university of british columbia . Representations of compact lie groups graduate texts in mathematics corr 2nd print edition by theodor brocker author tammo tom dieck author isbn 13 978 0387136783 isbn 10 0387136789 why is isbn important isbn this bar code number lets you verify that youre getting exactly the right version or edition of a book the 13 digit and 10 digit formats both work scan an isbn with your