Locally Finite Root Systems

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  • Locally Finite Root Systems Book Detail

  • Author : Ottmar Loos
  • Release Date : 2004
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 232
  • ISBN 13 : 0821835467
  • File Size : 66,66 MB

Locally Finite Root Systems by Ottmar Loos PDF Summary

Book Description: 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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Locally Finite Root Systems

Locally Finite Root Systems

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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

Steinberg Groups for Jordan Pairs

Steinberg Groups for Jordan Pairs

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The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory o