LEADER 00924nam0-22003371i-450- 001 990001643340403321 005 20050413082903.0 035 $a000164334 035 $aFED01000164334 035 $a(Aleph)000164334FED01 035 $a000164334 100 $a20030910d19719999km-y0itay50------ba 101 0 $aita 200 1 $aBiologia$fGastone Lambertini, Baldassare De Lerma, Salvatore Testai 210 $aNapoli$cFratelli Conte Ed.$d1971- 215 $av.$d24 cm 327 0 $a2: Biologia animale e vegetale. 610 0 $aBiologia vegetale 610 0 $aBiologia 676 $a574 676 $a581.4 700 1$aLambertini,$bGastone$070599 702 1$aDe Lerma,$bBaldassarre 702 1$aTestai,$bSalvatore 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990001643340403321 952 $a60 581.56 B 18$b42590$fFAGBC 959 $aFAGBC 996 $aBiologia$9368151 997 $aUNINA LEADER 03815nam 2200697 450 001 9910460677303321 005 20210504020004.0 010 $a1-4008-7402-5 024 7 $a10.1515/9781400874026 035 $a(CKB)3710000000485483 035 $a(EBL)4001611 035 $a(SSID)ssj0001554883 035 $a(PQKBManifestationID)16179870 035 $a(PQKBTitleCode)TC0001554883 035 $a(PQKBWorkID)13759220 035 $a(PQKB)10091768 035 $a(MiAaPQ)EBC4001611 035 $a(StDuBDS)EDZ0001756490 035 $a(DE-B1597)468952 035 $a(OCoLC)979687281 035 $a(DE-B1597)9781400874026 035 $a(Au-PeEL)EBL4001611 035 $a(CaPaEBR)ebr11124043 035 $a(CaONFJC)MIL832712 035 $a(OCoLC)932328021 035 $a(EXLCZ)993710000000485483 100 $a20151223h20162016 uy 0 101 0 $aeng 135 $aurnnu---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aClassification of pseudo-reductive groups /$fBrian Conrad, Gopal Prasad 210 1$aPrinceton, New Jersey ;$aOxford, England :$cPrinceton University Press,$d2016. 210 4$dİ2016 215 $a1 online resource (256 p.) 225 1 $aAnnals of Mathematics Studies ;$vNumber 191 300 $aDescription based upon print version of record. 311 $a0-691-16793-1 311 $a0-691-16792-3 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$t1. Introduction --$t2. Preliminary notions --$t3. Field-theoretic and linear-algebraic invariants --$t4. Central extensions and groups locally of minimal type --$t5. Universal smooth k-tame central extension --$t6. Automorphisms, isomorphisms, and Tits classification --$t7. Constructions with regular degenerate quadratic forms --$t8. Constructions when ? has a double bond --$t9. Generalization of the standard construction --$tA. Pseudo-isogenies --$tB. Clifford constructions --$tC. Pseudo-split and quasi-split forms --$tD. Basic exotic groups of type F4 of relative rank 2 --$tBibliography --$tIndex 330 $aIn the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions. The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic. 410 0$aAnnals of mathematics studies ;$vNumber 191. 606 $aLinear algebraic groups 606 $aGroup theory 606 $aGeometry, Algebraic 608 $aElectronic books. 615 0$aLinear algebraic groups. 615 0$aGroup theory. 615 0$aGeometry, Algebraic. 676 $a512/.55 700 $aConrad$b Brian$f1970-$065658 702 $aPrasad$b Gopal 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910460677303321 996 $aClassification of pseudo-reductive groups$92474433 997 $aUNINA