LEADER 03364nam 22004095a 450 001 9910151938803321 005 20091109150325.0 010 $a3-03719-502-9 024 70$a10.4171/002 035 $a(CKB)3710000000953787 035 $a(CH-001817-3)18-091109 035 $a(PPN)178154989 035 $a(EXLCZ)993710000000953787 100 $a20091109j20040228 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Real Semisimple Lie Algebras and Their Representations$b[electronic resource] /$fArkady L. Onishchik 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2004 215 $a1 online resource (95 pages) 225 0 $aESI Lectures in Mathematics and Physics (ESI) 330 $aIn 1914, E. Cartan posed the problem to find all irreducible real linear Lie algebras. An updated exposition of his work was given by Iwahori (1959). This theory reduces the classification of irreducible real representations of a real Lie algebra to a description of the so-called self-conjugate irreducible complex representations of this algebra and to the calculation of an invariant of such a representation (with values +1 or -1) which is called the index. Moreover, these two problems were reduced to the case when the Lie algebra is simple and the highest weight of its irreducible complex representation is fundamental. A complete case-by-case classification for all simple real Lie algebras was given (without proof) in the tables of Tits (1967). But actually a general solution of these problems is contained in a paper of Karpelevich (1955) (written in Russian and not widely known), where inclusions between real forms induced by a complex representation were studied. We begin with a simplified (and somewhat extended and corrected) exposition of the main part of this paper and relate it to the theory of Cartan-Iwahori. We conclude with some tables, where an involution of the Dynkin diagram which allows us to find self-conjugate representations is described and explicit formulas for the index are given. In a short addendum, written by J. v. Silhan, this involution is interpreted in terms of the Satake diagram. The book is aimed at students in Lie groups, Lie algebras and their representations, as well as researchers in any field where these theories are used. The reader is supposed to know the classical theory of complex semisimple Lie algebras and their finite dimensional representation; the main facts are presented without proofs in Section 1. In the remaining sections the exposition is made with detailed proofs, including the correspondence between real forms and involutive automorphisms, the Cartan decompositions and the con... 606 $aAlgebra$2bicssc 606 $aNonassociative rings and algebras$2msc 606 $aTopological groups, Lie groups$2msc 615 07$aAlgebra 615 07$aNonassociative rings and algebras 615 07$aTopological groups, Lie groups 686 $a17-xx$a22-xx$2msc 700 $aOnishchik$b Arkady L.$0535921 801 0$bch0018173 906 $aBOOK 912 $a9910151938803321 996 $aLectures on real semisimple Lie algebras and their representations$91106383 997 $aUNINA LEADER 01137nam0 22002891i 450 001 RML0256739 005 20231121125715.0 010 $a8814040168 100 $a20121121d1993 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $a˜L'œ"affaire perrier"$ela regolamentazione del mercato finanziario e la nuova disciplina delle offerte pubbliche in Francia$fStefano Mogini, Alessandro Munari 210 $aMilano $cGiuffrè $d1993 215 $aXVI, 434 p.$d24 cm 606 $aDiritto commerciale$2FIR$3RMLC067534$9I 700 1$aMogini$b, Stefano$3RMLV165197$0405874 701 1$aMUNARI$b, Alessandro$3RMLV150404$0229564 801 3$aIT$bIT-01$c20121121 850 $aIT-FR0098 899 $aBiblioteca Area Giuridico Economica$bFR0098 912 $aRML0256739 950 0$aBiblioteca Area Giuridico Economica$d 53DSG GIU28/139$e 53VM 0000276785 VM barcode:BAGE017212. - Inventario:7793. - Fondo:Sala consultazioneVM$fA $h20010423$i20121204 977 $a 53 996 $aAffaire Perrier$9575411 997 $aUNICAS LEADER 02972nam 2200589 a 450 001 9910438037803321 005 20200520144314.0 010 $a1-4471-5110-0 024 7 $a10.1007/978-1-4471-5110-4 035 $a(OCoLC)849898535 035 $a(MiFhGG)GVRL6XWE 035 $a(CKB)2560000000103942 035 $a(MiAaPQ)EBC1317430 035 $a(EXLCZ)992560000000103942 100 $a20130703d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aStatics with MATLAB /$fDan B. Marghitu, Mihai Dupac, Nels H. Madsen 205 $a1st ed. 2013. 210 $aLondon $cSpringer$dc2013 215 $a1 online resource (ix, 286 pages) $cillustrations (some color) 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a1-4471-6195-5 311 $a1-4471-5109-7 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $a1.Operation with Vectors -- 2.Moments, Couples, Equipollent Systems -- 3.Centers of Mass -- 4.Equilibrium -- 5.Friction -- 6.VirtualWork and Stability. 330 $aEngineering mechanics involves the development of mathematical models of the physical world. Statics addresses the forces acting on and in mechanical objects and systems. Statics with MATLAB®  develops an understanding of the mechanical behavior of complex engineering structures and components using MATLAB®  to execute numerical calculations and to facilitate analytical calculations.   MATLAB® is presented and introduced as a highly convenient tool to solve problems for theory and applications in statics. Included are example problems to demonstrate the MATLAB® syntax and to also introduce specific functions dealing with statics. These explanations are reinforced through figures generated with MATLAB® and the extra material available online which includes the special functions described. This detailed introduction and application of MATLAB® to the field of statics makes Statics with MATLAB® a useful tool for instruction as well as self study,  highlighting the use of symbolic MATLAB® for both theory and applications to find analytical and numerical solutions. 606 $aStatics$xData processing 606 $aEngineering mathematics$xData processing 606 $aEngineering 606 $aMechanics 606 $aMechanical engineering 615 0$aStatics$xData processing. 615 0$aEngineering mathematics$xData processing. 615 0$aEngineering. 615 0$aMechanics. 615 0$aMechanical engineering. 676 $a620.1030285536 700 $aMarghitu$b Dan B$0624287 701 $aDupac$b Mihai$01634272 701 $aMadsen$b Nels H$01754768 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438037803321 996 $aStatics with MATLAB$94191268 997 $aUNINA