02693nam 22004695a 450 991015192910332120110806234510.09783037195970 (electronic book)3-03719-597-510.4171/097(CKB)3710000000953867(CH-001817-3)132-110806(PPN)178155926(EXLCZ)99371000000095386720110806j20110806 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierMathematical Foundations of Supersymmetry[electronic resource] /Claudio Carmeli, Lauren Caston, Rita FioresiZuerich, Switzerland European Mathematical Society Publishing House2011Zurich, Switzerland :European Mathematical Society Publishing House,[2011]1 online resource (300 pages)EMS Series of Lectures in Mathematics (ELM) ;2523-5176EMS series of lectures in mathematicsSupersymmetry 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 Fréchet space in the super context.SupersymmetrySupermanifolds (Mathematics)Lie superalgebrasSupersymmetrySupermanifolds (Mathematics)Lie superalgebras58-xx14-xx17-xx32-xxmscCarmeli Claudio1070710Caston Lauren904752Fioresi Rita, 1966-322823ch0018173BOOK9910151929103321Mathematical Foundations of Supersymmetry2564812UNINA