Locally Finite Root Systems (Memoirs of the American Mathematical Society, Band 811) - Softcover

Loos, Ottmar; Neher, Erhard

 
9780821835463: Locally Finite Root Systems (Memoirs of the American Mathematical Society, Band 811)

Inhaltsangabe

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.

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