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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Descent in Buildings (Am-190)

Descent in Buildings (Am-190)

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

Hardcover

Series: Annals of Mathematics Studies, Book 190

General MathematicsGeometry

Currently unavailable to order

ISBN10: 0691166900
ISBN13: 9780691166902
Publisher: Princeton Univ Pr
Published: Sep 15 2015
Pages: 352
Weight: 1.40
Height: 1.10 Width: 5.70 Depth: 9.30
Language: English

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.

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