02380nam a22003138i 4500001001600000003000700016008004100023020001800064020001800082035002000100041000800120082001600128100002900144245012500173264007100298300003800369336002600407337002600433338003600459500001300495505036700508520095900875650001601834650001801850856005501868932003201923596000601955949010501961CR9780511791390UkCbUP100611s2008||||enk o ||1 0|eng|d a9780511791390 a9780521884006 a(Sirsi) a791680 aeng04a512.4822221 aGilmore, Robert,eauthor10aLie groups, physics, and geometry :ban introduction for physicists, engineers and chemistsh[E-Book] /cRobert Gilmore. 1aCambridge :bCambridge University Press,c2008e(CUP)fCUP20200108 a1 online resource (xi, 319 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aenglisch0 aLie groups -- Matrix groups -- Lie algebras -- Matrix algebras -- Operator algebras -- EXPonentiation -- Structure theory for Lie algebras -- Structure theory for simple Lie algebras -- Root spaces and Dynkin diagrams -- Real forms -- Riemannian symmetric spaces -- Contraction -- Hydrogenic atoms -- Maxwell's equations -- Lie groups and differential equations. aDescribing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields. 0aLie groups. 0aGroup theory.40uhttps://doi.org/10.1017/CBO9780511791390zVolltext aCambridgeCore (Order 30059) a1 aXX(791680.1)wAUTOc1i791680-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE