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Descent in buildings /
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 nece...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2015.
|
| Colección: | Annals of mathematics studies ;
no. 190. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Mühlherr, Bernhard Matthias, |e author. | |
| 245 | 1 | 0 | |a Descent in buildings / |c Bernhard Mühlherr, Holger P. Petersson, Richard M. Weiss. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2015. | |
| 300 | |a 1 online resource (xvi, 336 pages .) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 490 | 1 | |a Annals of mathematics studies ; |v 190 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Dedication; Contents; Preface; PART 1. MOUFANG QUADRANGLES; Chapter 1. Buildings; Chapter 2. Quadratic Forms; Chapter 3. Moufang Polygons; Chapter 4. Moufang Quadrangles; Chapter 5. Linked Tori, I; Chapter 6. Linked Tori, II; Chapter 7. Quadratic Forms over a Local Field; Chapter 8. Quadratic Forms of Type E6, E7 and E8; Chapter 9. Quadratic Forms of Type F4; PART 2. RESIDUES IN BRUHAT-TITS BUILDINGS; Chapter 10. Residues; Chapter 11. Unramified Quadrangles of Type E6, E7 and E8; Chapter 12. Semi-ramified Quadrangles of Type E6, E7 and E8. | |
| 505 | 8 | |a Chapter 13. Ramified Quadrangles of Type E6, E7 and E8Chapter 14. Quadrangles of Type E6, E7 and E8: Summary; Chapter 15. Totally Wild Quadratic Forms of Type E7; Chapter 16. Existence; Chapter 17. Quadrangles of Type F4; Chapter 18. The Other Bruhat-Tits Buildings; PART 3. DESCENT; Chapter 19. Coxeter Groups; Chapter 20. Tits Indices; Chapter 21. Parallel Residues; Chapter 22. Fixed Point Buildings; Chapter 23. Subbuildings; Chapter 24. Moufang Structures; Chapter 25. Fixed Apartments; Chapter 26. The Standard Metric; Chapter 27. Affine Fixed Point Buildings; PART 4. GALOIS INVOLUTIONS. | |
| 505 | 8 | |a Chapter 28. Pseudo-Split BuildingsChapter 29. Linear Automorphisms; Chapter 30. Strictly Semi-linear Automorphisms; Chapter 31. Galois Involutions; Chapter 32. Unramified Galois Involutions; PART 5. EXCEPTIONAL TITS INDICES; Chapter 33. Residually Pseudo-Split Buildings; Chapter 34. Forms of Residually Pseudo-Split Buildings; Chapter 35. Orthogonal Buildings; Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings; Bibliography; Index. | |
| 520 | |a 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 | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Buildings (Group theory) | |
| 650 | 0 | |a Combinatorial geometry. | |
| 650 | 6 | |a Immeubles (Théorie des groupes) | |
| 650 | 6 | |a Géométrie combinatoire. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Buildings (Group theory) |2 fast | |
| 650 | 7 | |a Combinatorial geometry |2 fast | |
| 700 | 1 | |a Petersson, Holger P., |d 1939- |e author. | |
| 700 | 1 | |a Weiss, Richard M. |q (Richard Mark), |d 1946- |e author. | |
| 776 | 0 | 8 | |i Print version: |a Mühlherr, Bernhard Matthias. |t Descent in buildings. |d Princeton : Princeton University Press, 2015 |z 9780691166902 |z 0691166900 |w (DLC) 2015008618 |w (OCoLC)907060235 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 190. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt18z4hp8 |z Texto completo |
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