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Descent in Buildings
Engelsk
Bogcover for Descent in Buildings af Richard M. Weiss, Bernhard Muhlherr, Holger P. Petersson, 9780691166919
Specifikationer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9780691166919
Indbinding:
Paperback
ISBN-10:
0691166919
Kategori:
Udg. Dato:
22 sep 2015
Størrelse i cm:
23,7 x 15,5 x 2,5
Oplagsdato:
22 sep 2015
Paperback 2015
Format:

Bog beskrivelse

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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Specifikationer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9780691166919
Indbinding:
Paperback
ISBN-10:
0691166919
Kategori:
Udg. Dato:
22 sep 2015
Størrelse i cm:
23,7 x 15,5 x 2,5
Oplagsdato:
22 sep 2015
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