Descent in Buildings (Paperback)

Bernhard Muhlherr

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Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These results are combined at the end to show that every exceptional Bruhat-Tits building arises as a form of a "residually pseudo-split" Bruhat-Tits building. The book concludes with a display of the Tits indices associated with each of these exceptional forms. This is the third and final volume of a trilogy that began with Richard Weiss' The Structure of Spherical Buildings and The Structure of Affine Buildings.


Product Details

  • Product code: BALFS
  • ISBN: 9780691166919
  • Publisher: Princeton University Press
  • Format: Paperback
  • Dimensions: 23.7cm x 15.5cm
  • Pages: 352
  • Publish date: Fri Oct 02 00:00:00 BST 2015
  • Book points: 62

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