LEADER 06821nam 2201741Ia 450 001 9910780926103321 005 20200520144314.0 010 $a1-282-45836-1 010 $a9786612458361 010 $a1-4008-2905-4 024 7 $a10.1515/9781400829057 035 $a(CKB)2550000000002046 035 $a(EBL)483594 035 $a(OCoLC)647843271 035 $a(SSID)ssj0000343328 035 $a(PQKBManifestationID)11264963 035 $a(PQKBTitleCode)TC0000343328 035 $a(PQKBWorkID)10305819 035 $a(PQKB)10116058 035 $a(DE-B1597)446927 035 $a(OCoLC)979970183 035 $a(DE-B1597)9781400829057 035 $a(Au-PeEL)EBL483594 035 $a(CaPaEBR)ebr10359253 035 $a(CaONFJC)MIL245836 035 $a(MiAaPQ)EBC483594 035 $a(EXLCZ)992550000000002046 100 $a20080410d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe structure of affine buildings$b[electronic resource] /$fRichard M. Weiss 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc2009 215 $a1 online resource (381 p.) 225 1 $aAnnals of mathematics studies ;$vno. 168 300 $aDescription based upon print version of record. 311 $a0-691-13659-9 311 $a0-691-13881-8 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter 1. Affine Coxeter Diagrams -- $tChapter 2. Root Systems -- $tChapter 3. Root Data with Valuation -- $tChapter 4. Sectors -- $tChapter 5. Faces -- $tChapter 6. Gems -- $tChapter 7. Affine Buildings -- $tChapter 8. The Building at Infinity -- $tChapter 9. Trees with Valuation -- $tChapter 10. Wall Trees -- $tChapter 11. Panel Trees -- $tChapter 12. Tree-Preserving Isomorphisms -- $tChapter 13. The Moufang Property at Infinity -- $tChapter 14. Existence -- $tChapter 15. Partial Valuations -- $tChapter 16. Bruhat-Tits Theory -- $tChapter 17. Completions -- $tChapter 18. Automorphisms and Residues -- $tChapter 19. Quadrangles of Quadratic Form Type -- $tChapter 20. Quadrangles of Indifferent Type -- $tChapter 21. Quadrangles of Type E6, E7 and E8 -- $tChapter 22. Quadrangles of Type F4 -- $tChapter 23. Quadrangles of Involutory Type -- $tChapter 24. Pseudo-Quadratic Quadrangles -- $tChapter 25. Hexagons -- $tChapter 26. Assorted Conclusions -- $tChapter 27. Summary of the Classification -- $tChapter 28. Locally Finite Bruhat-Tits Buildings -- $tChapter 29. Appendix A -- $tChapter 30. Appendix B -- $tBibliography -- $tIndex 330 $aIn The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. The book includes numerous results about automorphisms, completions, and residues of these buildings. It also includes tables correlating the results in the locally finite case with the results of Tits's classification of absolutely simple algebraic groups defined over a local field. A companion to Weiss's The Structure of Spherical Buildings, The Structure of Affine Buildings is organized around the classification of spherical buildings and their root data as it is carried out in Tits and Weiss's Moufang Polygons. 410 0$aAnnals of mathematics studies ;$vno. 168. 606 $aBuildings (Group theory) 606 $aMoufang loops 606 $aAutomorphisms 606 $aAffine algebraic groups 610 $aAddition. 610 $aAdditive group. 610 $aAdditive inverse. 610 $aAlgebraic group. 610 $aAlgebraic structure. 610 $aAmbient space. 610 $aAssociative property. 610 $aAutomorphism. 610 $aBig O notation. 610 $aBijection. 610 $aBilinear form. 610 $aBounded set (topological vector space). 610 $aBounded set. 610 $aCalculation. 610 $aCardinality. 610 $aCauchy sequence. 610 $aCommutative property. 610 $aComplete graph. 610 $aComplete metric space. 610 $aComposition algebra. 610 $aConnected component (graph theory). 610 $aConsistency. 610 $aContinuous function. 610 $aCoordinate system. 610 $aCorollary. 610 $aCoxeter group. 610 $aCoxeter?Dynkin diagram. 610 $aDiagram (category theory). 610 $aDiameter. 610 $aDimension. 610 $aDiscrete valuation. 610 $aDivision algebra. 610 $aDot product. 610 $aDynkin diagram. 610 $aE6 (mathematics). 610 $aE7 (mathematics). 610 $aE8 (mathematics). 610 $aEmpty set. 610 $aEquipollence (geometry). 610 $aEquivalence class. 610 $aEquivalence relation. 610 $aEuclidean geometry. 610 $aEuclidean space. 610 $aExistential quantification. 610 $aFree monoid. 610 $aFundamental domain. 610 $aHyperplane. 610 $aInfimum and supremum. 610 $aJacques Tits. 610 $aK0. 610 $aLinear combination. 610 $aMathematical induction. 610 $aMetric space. 610 $aMultiple edges. 610 $aMultiplicative inverse. 610 $aNumber theory. 610 $aOctonion. 610 $aParameter. 610 $aPermutation group. 610 $aPermutation. 610 $aPointwise. 610 $aPolygon. 610 $aProjective line. 610 $aQuadratic form. 610 $aQuaternion. 610 $aRemainder. 610 $aRoot datum. 610 $aRoot system. 610 $aScientific notation. 610 $aSphere. 610 $aSubgroup. 610 $aSubring. 610 $aSubset. 610 $aSubstructure. 610 $aTheorem. 610 $aTopology of uniform convergence. 610 $aTopology. 610 $aTorus. 610 $aTree (data structure). 610 $aTree structure. 610 $aTwo-dimensional space. 610 $aUniform continuity. 610 $aValuation (algebra). 610 $aVector space. 610 $aWithout loss of generality. 615 0$aBuildings (Group theory) 615 0$aMoufang loops. 615 0$aAutomorphisms. 615 0$aAffine algebraic groups. 676 $a512/.2 686 $aSI 830$2rvk 700 $aWeiss$b Richard M$g(Richard Mark),$f1946-$01523006 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910780926103321 996 $aThe structure of affine buildings$93836906 997 $aUNINA LEADER 04839nam 2201177z- 450 001 9910367738103321 005 20210211 010 $a3-03921-955-3 035 $a(CKB)4100000010106336 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/45283 035 $a(oapen)doab45283 035 $a(EXLCZ)994100000010106336 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aDissimilar Metal Welding 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 online resource (288 p.) 311 08$a3-03921-954-5 330 $aThe combination of distinct materials is a key issue in modern industry, whereas the driving concept is to design parts with the right material in the right place. In this framework, a great deal of attention is directed towards dissimilar welding and joining technologies. In the automotive sector, for instance, the concept of "tailored blanks", introduced in the last decade, has further highlighted the necessity to weld dissimilar materials. As far as the aeronautic field is concerned, most structures are built combining very different materials and alloys, in order to match lightweight and structural performance requirements. In this framework, the application of fusion welding techniques, namely, tungsten inert gas or laser welding, is quite challenging due to the difference in physical properties, in particular the melting point, between adjoining materials. On the other hand, solid-state welding methods, such as the friction stir welding as well as linear friction welding processes, have already proved to be capable of manufacturing sound Al-Cu, Al-Ti, Al-SS, and Al-Mg joints, to cite but a few. Recently, promising results have also been obtained using hybrid methods. Considering the novelty of the topic, many relevant issues are still open, and many research groups are continuously publishing valuable results. The aim of this book is to finalize the latest contributions on this topic. 606 $aHistory of engineering and technology$2bicssc 610 $a1050 aluminum alloy 610 $aAg-Cu-Zn 610 $aageing 610 $aaging treatment 610 $aAISI 316L 610 $aAl/steel dissimilar materials 610 $aaluminum 610 $aaluminum alloy 610 $aaluminum-steel butt joint 610 $aarc assisted laser method 610 $acloud of particles 610 $acopper 610 $acrack growth path 610 $across-section adjustment 610 $aDeltaSpot welding 610 $adissimilar 610 $adissimilar joints 610 $adissimilar materials welding 610 $adissimilar metal welded joint 610 $adissimilar metal welding 610 $adissimilar metals 610 $adissimilar Ti6Al4V/AA6060 lap joint 610 $adissimilar weld 610 $aDP1000 steel 610 $adual-beam laser welding 610 $aEBSD phase mapping 610 $aelectrical properties 610 $aelectromagnetic pulse welding 610 $afailure mode 610 $afiller metals 610 $afracture load 610 $afracture resistance 610 $afriction stir spot brazing 610 $afriction stir spot welding 610 $afriction stir welding 610 $aFSW 610 $ahardness 610 $aInconel 625 610 $ainterface 610 $ainterfacial crack initiation 610 $aintermetallic compounds 610 $ainternal supports 610 $ajet 610 $ajoining area 610 $alaser beam welding 610 $alaser welding 610 $alobe curve 610 $alocal strength mismatch 610 $amagnetic pulse welding 610 $amechanical properties 610 $amicrostructure 610 $an/a 610 $aoptimal design 610 $aphase potential 610 $apulsed Nd:YAG laser 610 $apulsed Nd:YAG laser beam welding 610 $aRare earth 610 $aside-by-side configuration 610 $asolid state welding 610 $aspatial beam oscillation 610 $aspooling process tape 610 $asteel/Al joint 610 $asteel/aluminum joint 610 $asurface activation 610 $atensile 610 $atensile properties 610 $atensile resistance 610 $atubular joints 610 $awelding window 610 $awelding-brazing 615 7$aHistory of engineering and technology 700 $aAstarita$b Antonello$4auth$01325169 702 $aCarlone$b Pierpaolo$4auth 906 $aBOOK 912 $a9910367738103321 996 $aDissimilar Metal Welding$93036636 997 $aUNINA