{"product_id":"the-structure-of-affine-buildings-9780691138817","title":"The Structure of Affine Buildings","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGives a presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. This book includes numerous results about automorphisms, completions, and residues of these buildings.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface vii  Chapter 1. Affine Coxeter Diagrams 1  Chapter 2. Root Systems 13  Chapter 3. Root Data with Valuation 25  Chapter 4. Sectors 39  Chapter 5. Faces 45  Chapter 6. Gems 53  Chapter 7. Affine Buildings 59  Chapter 8. The Building at Infinity 67  Chapter 9. Trees with Valuation 77  Chapter 10. Wall Trees 89  Chapter 11. Panel Trees 101  Chapter 12. Tree-Preserving Isomorphisms 107  Chapter 13. The Moufang Property at Infinity 119  Chapter 14. Existence 131  Chapter 15. Partial Valuations 147  Chapter 16. Bruhat-Tits Theory 159  Chapter 17. Completions 167  Chapter 18. Automorphisms and Residues 175  Chapter 19. Quadrangles of Quadratic Form Type 189  Chapter 20. Quadrangles of Indifferent Type 205  Chapter 21. Quadrangles of Type E6, E7 and E8 209  Chapter 22. Quadrangles of Type F4 221  Chapter 23. Quadrangles of Involutory Type 229  Chapter 24. Pseudo-Quadratic Quadrangles 239  Chapter 25. Hexagons 261  Chapter 26. Assorted Conclusions 275  Chapter 27. Summary of the Classification 289  Chapter 28. Locally Finite Bruhat-Tits Buildings 297  Chapter 29. Appendix A 321  Chapter 30. Appendix B 343  Bibliography 361  Index 365","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49922424537431,"sku":"9780691138817","price":67.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691138817.jpg?v=1738537840","url":"https:\/\/bookcurl.com\/products\/the-structure-of-affine-buildings-9780691138817","provider":"Book Curl","version":"1.0","type":"link"}