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001 978-3-540-48102-7
003 DE-He213
005 20190213151504.0
007 cr nn 008mamaa
008 100730s1987 gw | s |||| 0|fre d
020 _a9783540481027
_9978-3-540-48102-7
024 7 _a10.1007/BFb0082712
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
100 1 _aMœglin, Colette.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aCorrespondances de Howe sur un corps p-adique
_h[electronic resource] /
_cby Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1987.
300 _aVII, 163 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1291
505 0 _aEspaces hermitiens -- Représentations métaplectiques et conjecture de Howe -- Correspondance de Howe et induction -- Sur les classes de conjugaison dans certains groupes unitaires -- Paires réductives duales non ramifiées -- Représentations de petit rang du groupe symplectique.
520 _aThis book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. The aim of the seminar was to give an exposition of the theory of the Metaplectic Representation (or Weil Representation) over a p-adic field. The book begins with the algebraic theory of symplectic and unitary spaces and a general presentation of metaplectic representations. It continues with exposés on the recent work of Kudla (Howe Conjecture and induction) and of Howe (proof of the conjecture in the unramified case, representations of low rank). These lecture notes contain several original results. The book assumes some background in geometry and arithmetic (symplectic forms, quadratic forms, reductive groups, etc.), and with the theory of reductive groups over a p-adic field. It is written for researchers in p-adic reductive groups, including number theorists with an interest in the role played by the Weil Representation and -series in the theory of automorphic forms.
650 0 _aNumber theory.
650 0 _aTopological Groups.
650 0 _aGroup theory.
650 1 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
700 1 _aVignéras, Marie-France.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aWaldspurger, Jean-Loup.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540186991
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1291
856 4 0 _uhttps://doi.org/10.1007/BFb0082712
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10853
_d10853