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101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry$b[electronic resource] /$fDamien Calaque, Carlo A. Rossi
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2011
215   $a1 online resource (114 pages)
225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176
330   $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.
606   $aFields & rings$2bicssc
606   $aCommutative rings and algebras$2msc
606   $aAlgebraic geometry$2msc
606   $aNonassociative rings and algebras$2msc
615 07$aFields & rings
615 07$aCommutative rings and algebras
615 07$aAlgebraic geometry
615 07$aNonassociative rings and algebras
686   $a13-xx$a14-xx$a17-xx$2msc
700   $aCalaque$b Damien$01070708
702   $aRossi$b Carlo A.
801  0$bch0018173
906   $aBOOK
912   $a9910151929203321
996   $aLectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry$92564804
997   $aUNINA