Descent in buildings (AM-190) [online] / Bernhard Mühlherr, Holger P. Petersson, Richard M. Weiss

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Material type: Text

TextLanguage: English Series: Annals of Mathematics Studies ; 190Publication details: New Jersey : Princeton University Press, 2016Description: 1 resursă online (352 p.)ISBN:

9781400874019

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Contents:

Frontmatter 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 Chapter 13. Ramified Quadrangles of Type E6, E7 and E8 Chapter 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 Chapter 28. Pseudo-Split Buildings Chapter 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

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Frontmatter Contents Preface

Bibliography

Index

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