LEADER 01207nam0-2200385li-450 001 990000173560203316 005 20180918160653.0 035 $a0017356 035 $aUSA010017356 035 $a(ALEPH)000017356USA01 035 $a0017356 100 $a2001991021978-------y0itay0103----ba 101 0 $aita 102 $aIT 200 1 $aStatistica Bayesiana$fFranco Caroti Ghelli 210 $aMilano$cFranco Angeli Editore$dcopyr. 1978 215 $a274 p.$cill$d22 cm 225 2$aCollana di matematica e statistica$v17 410 1 $1001000333908$12001$aCollana di matematica e statstica$v17 606 0$aMatematica statistica 676 $a519.5 700 1$aCAROTI GHELLI,$bFranco$0142080 801 $aSistema bibliotecario di Ateneo dell' Università di Salerno$gRICA 912 $a990000173560203316 951 $a510 MS 17$b8755/CBS$c510$d00111217 959 $aBK 969 $aSCI 979 $c19910205 979 $c20001110$lUSA01$h1712 979 $aALANDI$b90$c20020123$lUSA01$h1659 979 $c20020403$lUSA01$h1625 979 $aPATRY$b90$c20040406$lUSA01$h1613 979 $aRSIAV6$b90$c20091023$lUSA01$h1249 996 $aStatistica bayesiana$9294223 997 $aUNISA LEADER 04071nam 22007214a 450 001 9910454722303321 005 20200520144314.0 010 $a1-282-12946-5 010 $a9786612129469 010 $a1-4008-2694-2 024 7 $a10.1515/9781400826940 035 $a(CKB)1000000000756300 035 $a(EBL)445567 035 $a(OCoLC)362799544 035 $a(SSID)ssj0000230980 035 $a(PQKBManifestationID)11175054 035 $a(PQKBTitleCode)TC0000230980 035 $a(PQKBWorkID)10197490 035 $a(PQKB)10708509 035 $a(MiAaPQ)EBC445567 035 $a(DE-B1597)446487 035 $a(OCoLC)979592495 035 $a(DE-B1597)9781400826940 035 $a(PPN)199244707$9sudoc 035 $a(PPN)187951233 035 $a(Au-PeEL)EBL445567 035 $a(CaPaEBR)ebr10284147 035 $a(CaONFJC)MIL212946 035 $a(EXLCZ)991000000000756300 100 $a20050330d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuadrangular algebras$b[electronic resource] /$fRichard M. Weiss 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc2006 215 $a1 online resource (146 p.) 225 1 $aMathematical notes ;$v46 225 1 $aPrinceton paperbacks 300 $aDescription based upon print version of record. 311 $a0-691-12460-4 320 $aIncludes bibliographical references (p. [133]) and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter One. Basic Definitions -- $tChapter Two. Quadratic Forms -- $tChapter Three. Quadrangular Algebras -- $tChapter Four. Proper Quadrangular Algebras -- $tChapter Five. Special Quadrangular Algebras -- $tChapter Six. Regular Quadrangular Algebras -- $tChapter Seven. Defective Quadrangular Algebras -- $tChapter Eight. Isotopes -- $tChapter Nine. Improper Quadrangular Algebras -- $tChapter Ten. Existence -- $tChapter Eleven. Moufang Quadrangles -- $tChapter Twelve. The Structure Group -- $tBibliography -- $tIndex 330 $aThis book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These quadrangles include both those that arise as the spherical buildings associated to groups of type E6, E7, and E8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras. Formally, the notion of a quadrangular algebra is derived from the notion of a pseudo-quadratic space (introduced by Jacques Tits in the study of classical groups) over a quaternion division ring. This book contains the complete classification of quadrangular algebras starting from first principles. It also shows how this classification can be made to yield the classification of exceptional Moufang quadrangles as a consequence. The book closes with a chapter on isotopes and the structure group of a quadrangular algebra. Quadrangular Algebras is intended for graduate students of mathematics as well as specialists in buildings, exceptional algebraic groups, and related algebraic structures including Jordan algebras and the algebraic theory of quadratic forms. 410 0$aMathematical notes (Princeton University Press) ;$v46. 410 0$aPrinceton paperbacks. 606 $aForms, Quadratic 606 $aAlgebra 608 $aElectronic books. 615 0$aForms, Quadratic. 615 0$aAlgebra. 676 $a512.7/4 686 $a31.20$2bcl 700 $aWeiss$b Richard M$g(Richard Mark),$f1946-$01043570 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454722303321 996 $aQuadrangular algebras$92492902 997 $aUNINA