LEADER 02691nam 22004695a 450 001 9910151929103321 005 20110806234510.0 010 $a9783037195970 (electronic book) 010 $a3-03719-597-5 024 70$a10.4171/097 035 $a(CKB)3710000000953867 035 $a(CH-001817-3)132-110806 035 $a(PPN)178155926 035 $a(EXLCZ)993710000000953867 100 $a20110806j20110806 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Foundations of Supersymmetry$b[electronic resource] /$fClaudio Carmeli, Lauren Caston, Rita Fioresi 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2011 210 1$aZurich, Switzerland :$cEuropean Mathematical Society Publishing House,$d[2011] 215 $a1 online resource (300 pages) 225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176 225 1$aEMS series of lectures in mathematics 330 $aSupersymmetry is a highly active area of considerable interest among physicists and mathematicians. It is not only fascinating in its own right, but there is also indication that it plays a fundamental role in the physics of elementary particles and gravitation. The purpose of the book is to lay down the foundations of the subject, providing the reader with a comprehensive introduction to the language and techniques, with a special attention to giving detailed proofs and many clarifying examples. It is aimed ideally at a second year graduate student. After the first three introductory chapters, the text divides into two parts: the theory of smooth supermanifolds and Lie supergroups, including the Frobenius theorem, and the theory of algebraic superschemes and supergroups. There are three appendices, the first introducing Lie superalgebras and representations of classical Lie superalgebras, the second collecting some relevant facts on categories, sheafification of functors and commutative algebra, and the third explaining the notion of Fre?chet space in the super context. 606 $aSupersymmetry 606 $aSupermanifolds (Mathematics) 606 $aLie superalgebras 615 0$aSupersymmetry. 615 0$aSupermanifolds (Mathematics) 615 0$aLie superalgebras. 686 $a58-xx$a14-xx$a17-xx$a32-xx$2msc 700 $aCarmeli$b Claudio$01070710 701 $aCaston$b Lauren$0904752 701 $aFioresi$b Rita, 1966-$0322823 801 0$bch0018173 906 $aBOOK 912 $a9910151929103321 996 $aMathematical Foundations of Supersymmetry$92564812 997 $aUNINA