000 03024nam a22004218i 4500
001 CR9780511734878
003 UkCbUP
005 20200124160229.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100325s2005||||enk o ||1 0|eng|d
020 _a9780511734878 (ebook)
020 _z9780521615051 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.3
_b.P648 2005
082 0 4 _a516.36
_222
245 0 0 _aPoisson geometry, deformation quantisation and group representations /
_cedited by Simone Gutt, John Rawnsley, Daniel Sternheimer.
246 3 _aPoisson Geometry, Deformation Quantisation & Group Representations
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (x, 359 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v323
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _gpt. 1.
_tPoisson geometry and Morita equivalence --
_g1.
_tIntroduction --
_g2.
_tPoisson geometry and some generalizations --
_g3.
_tAlgebraic Morita equivalence --
_g4.
_tGeometric Morita equivalence --
_g5.
_tGeometric representation equivalence --
_gpt. 2.
_tFormality and star products --
_g1.
_tIntroduction --
_g2.
_tThe star product --
_g3.
_tRephrasing the main problem : the formality --
_g4.
_tDigression : what happens in the dual --
_g5.
_tThe Kontsevich formula --
_g6.
_tFrom local to global deformation quantization --
_gpt. 3.
_tLie groupoids, sheaves and cohomology --
_g1.
_tIntroduction --
_g2.
_tLie groupoids --
_g3.
_tSheaves on Lie groupoids --
_g4.
_tSheaf cohomology --
_g5.
_tCompactly supported cohomology --
_gpt. 4.
_tGeometric methods in representation theory.
520 _aPoisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer.
650 0 _aPoisson manifolds.
650 0 _aPoisson algebras.
650 0 _aRepresentations of groups.
700 1 _aGutt, Simone,
_eeditor.
700 1 _aRawnsley, John H.
_q(John Howard),
_d1947-
_eeditor.
700 1 _aSternheimer, Daniel,
_eeditor.
710 2 _aLondon Mathematical Society,
_eissuing body.
776 0 8 _iPrint version:
_z9780521615051
830 0 _aLondon Mathematical Society lecture note series ;
_v323.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511734878
999 _c517487
_d517485