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Memoirs of the American Mathematical Society
2004; 214 pp; softcover
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Order Code: MEMO/171/811
We develop the basic theory of root systems \(R\) in a real vector space \(X\) which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: The intersection of \(R\) with every finite-dimensional subspace of \(X\) is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.
Graduate students and research mathematicians interested in infinite-dimensional Lie theory.
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