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Título: Descent In Buildings | |
| Autor: Mühlherr, Bernhard / P. Petersson, Holger / M. Weiss, Richar | Precio: $1650.00 | |
| Editorial: Princeton | Año: 2015 | |
| Tema: Algebra | Edición: 1ª | |
| Sinopsis | ISBN: 9780691166919 | |
| 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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Última actualización: Jul 2019