MARC Record from marc_columbia

LEADER: 03523cam a2200601Ma 4500
001 16039878
005 20220625225707.0
006 m o d
007 cr |n|||||||||
008 111114s2011 sz a ob 001 0 eng d
035 $a(OCoLC)ocn817964749
035 $a(NNC)16039878
040 $aCOO$beng$cCOO$dOCLCO$dOCLCQ$dOCLCF$dOCLCA$dOCLCQ$dNOC$dLLB$dOCLCQ$dSTF$dN$T$dINT$dOCLCQ$dOCLCO
020 $a9783037195963$q(electronic bk.)
020 $a3037195967$q(electronic bk.)
020 $z9783037190968$q(pbk.)
020 $z3037190965$q(pbk.)
024 70 $a10.4171/096$2doi
035 $a(OCoLC)817964749
050 14 $aQA252.3$b.C35 2011
072 7 $aPBFL$2bicssc
072 7 $aMAT$x002040$2bisacsh
082 04 $a512.55$222
084 $a13-xx$a14-xx$a17-xx$2msc
049 $aZCUA
100 1 $aCalaque, Damien.
245 10 $aLectures on Duflo isomorphisms in Lie algebra and complex geometry /$cDamien Calaque, Carlo A. Rossi.
260 $aZürich :$bEuropean Mathematical Society,$c©2011.
300 $a1 online resource (viii, 106 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aEMS Series of Lectures in Mathematics
504 $aIncludes bibliographical references (pages 101-103) and index.
520 $aDuflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra, generalizing the pioneering work of Harish-Chandra on semi-simple Lie algebras. Later on, Duflo's result was refound by Kontsevich in the framework of deformation quantization, who also observed that there is a similar isomorphism between Dolbeault cohomology of holomorphic polyvector fields on a complex manifold and its Hochschild cohomology. The present book, which arose from a series of lectures by the first author at ETH, derives these two isomorphisms from a Duflo-type result for Q-manifolds. All notions mentioned above are introduced and explained in the book, the only prerequisites being basic linear algebra and differential geometry. In addition to standard notions such as Lie (super)algebras, complex manifolds, Hochschild and Chevalley-Eilenberg cohomologies, spectral sequences, Atiyah and Todd classes, the graphical calculus introduced by Kontsevich in his seminal work on deformation quantization is addressed in details. The book is well-suited for graduate students in mathematics and mathematical physics as well as for researchers working in Lie theory, algebraic geometry and deformation theory.
650 0 $aLie algebras.
650 0 $aIsomorphisms (Mathematics)
650 6 $aAlgèbres de Lie.
650 6 $aIsomorphismes (Mathématiques)
650 07 $aFields & rings.$2bicssc
650 7 $aMATHEMATICS / Algebra / Intermediate$2bisacsh
650 7 $aIsomorphisms (Mathematics)$2fast$0(OCoLC)fst00980192
650 7 $aLie algebras.$2fast$0(OCoLC)fst00998125
650 07 $aCommutative rings and algebras.$2msc
650 07 $aAlgebraic geometry.$2msc
650 07 $aNonassociative rings and algebras.$2msc
655 4 $aElectronic books.
700 1 $aRossi, Carlo A.
710 2 $aEuropean Mathematical Society.
830 0 $aEMS series of lectures in mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16039878$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS