LEADER 03526nam2 22004933i 450 001 VAN00264404 005 20260630103223.917 017 70$2N$a9783540388647 035 40$a1591501331 100 $a20231004d1988 |0itac50 ba 101 $aeng 102 $aDE 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aConstructions of Lie Algebras and their Modules$fGeorge B. Seligman 210 $aBerlin$cSpringer$d1988 215 $aviii, 196 p.$d24 cm 327 $aThis book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. The book is intended for researchers and students of algebraic Lie theory, as well as for other researchers who are seeking explicit realizations of algebras or modules. It will probably be more useful as a resource to be dipped into, than as a text to be worked straight through. 461 1$1001VAN00102550$12001 $aˆIl ‰diritto amministrativo tra particolarismo e universalismo$fGiuseppe Morbidelli$1210 $aNapoli$cEditoriale scientifica$d2012$1215 $a101 p.$d21 cm.$v1300 606 $a15A66$xClifford algebras, spinors [MSC 2020]$3VANC022018$2MF 606 $a16W10$xRings with involution; Lie, Jordan and other nonassociative structures [MSC 2020]$3VANC022266$2MF 606 $a17-XX$xNonassociative rings and algebras [MSC 2020]$3VANC021290$2MF 606 $a17B10$xRepresentations of Lie algebras and Lie superalgebras, algebraic theory (weights) [MSC 2020]$3VANC024337$2MF 606 $a17B20$xSimple, semisimple, reductive (super)algebras [MSC 2020]$3VANC024166$2MF 606 $a17C40$xExceptional Jordan structures [MSC 2020]$3VANC037685$2MF 610 $aAlgebra$9KW:K 610 $aAssociative Algebra$9KW:K 610 $aClifford Algebra$9KW:K 610 $aFields$9KW:K 610 $aLie Algebras$9KW:K 610 $aQuadratic forms$9KW:K 620 $dBerlin$3VANL000066 700 1$aSeligman$bGeorge B.$3VANV207629$042120 712 $aSpringer $3VANV108073$4650 801 $aIT$bSOL$c20260807$gRICA 856 4 $uhttps://doi.org/10.1007/BFb0079295$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00264404 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 6949 $e08eMF6949 20231023 996 $aConstructions of Lie algebras and their modules$978599 997 $aUNICAMPANIA