DESCENT IN BUILDINGS (AM-190), VOLUME I by Bernhard Muhlherr, Holger P. Petersson, Richard M. Weiss ( 9780691166919 )

Item Details

Title:

DESCENT IN BUILDINGS (AM-190), VOLUME I

By:

Bernhard Muhlherr, Holger P. Petersson, Richard M. Weiss

Format:

Paperback

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£75.00

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£60.00

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£15.00

ISBN 10:

0691166919

ISBN 13:

9780691166919

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Publisher:

PRINCETON UNIVERSITY PRESS

Pub. date:

22 September, 2015

Series:

Annals of Mathematics Studies 1

Pages:

352

Synopsis:

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.

Illustrations:

22 line illus. 8 tables.

Publication:

Imprint:

Princeton University Press

Returns:

Returnable

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