Locally Finite Root Systems

Locally Finite Root Systems
Author :
Publisher : American Mathematical Soc.
Total Pages : 232
Release :
ISBN-10 : 9780821835463
ISBN-13 : 0821835467
Rating : 4/5 (467 Downloads)

Book Synopsis Locally Finite Root Systems by : Ottmar Loos

Download or read book Locally Finite Root Systems written by Ottmar Loos and published by American Mathematical Soc.. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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