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Author: Bernhard Mühlherr
Publisher: Princeton University Press
ISBN: 0691166919
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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.
Author: Bernhard Mühlherr
Publisher: Princeton University Press
ISBN: 0691166919
Category : Mathematics
Languages : en
Pages : 352
Get Book
Book Description
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.
Author: San Francisco (Calif.). Board of Supervisors
Publisher:
ISBN:
Category : San Francisco (Calif.)
Languages : en
Pages : 1390
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Author: State Council of Defense of Illinois
Publisher:
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Category : Civil rights
Languages : en
Pages : 64
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Author: Reginald Townsend Townsend
Publisher: Garden City, N.Y. : Doubleday, Page
ISBN:
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Languages : en
Pages : 130
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Category : Architecture
Languages : en
Pages : 322
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Languages : en
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ISBN:
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Languages : en
Pages : 606
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