
[书籍] 典型群(英文版)
出版社:
世界图书出版公司
简介:
Ever since the year 1925, when I succeeded in determining the characters of the semi-simple continuous groups by a combination of E. Cartans infini-tesimal methods and I. Schurs integral procedure, I have looked toward thegoal of deriving the decisive results for the most important of these groups bydirect algebraic construction, in particular for the full group of all non-singu-lar linear transformations and for the orthogonal group. Owing mainly toR. Brauers intervention and collaboration during the last few years, it nowappears that I have in my hands all the tools necessary for this purpose. Thetask may be characterized precisely as follows: with respect to the assignedgroup of linear transformations in the underlying vector space, to decomposethe space of tensors of given rank into its irreducible invariant subspaces.
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