LEADER 03846nam 22007095 450 001 996466533803316 005 20211005113706.0 010 $a3-540-48102-8 024 7 $a10.1007/BFb0082712 035 $a(CKB)1000000000437514 035 $a(SSID)ssj0000322367 035 $a(PQKBManifestationID)12106183 035 $a(PQKBTitleCode)TC0000322367 035 $a(PQKBWorkID)10283216 035 $a(PQKB)11486002 035 $a(DE-He213)978-3-540-48102-7 035 $a(MiAaPQ)EBC6587667 035 $a(Au-PeEL)EBL6587667 035 $a(OCoLC)1250084366 035 $a(PPN)155172204 035 $a(EXLCZ)991000000000437514 100 $a20100730d1987 u| 0 101 0 $afre 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aCorrespondances de Howe sur un corps p-adique$b[electronic resource] /$fby Colette Moeglin, Marie-France Vignéras, Jean-Loup Waldspurger 205 $a1st ed. 1987. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1987. 215 $a1 online resource (VII, 163 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1291 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-18699-9 327 $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. 330 $aThis book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. The aim of the seminar was to give an exposition of the theory of the Metaplectic Representation (or Weil Representation) over a p-adic field. The book begins with the algebraic theory of symplectic and unitary spaces and a general presentation of metaplectic representations. It continues with exposés on the recent work of Kudla (Howe Conjecture and induction) and of Howe (proof of the conjecture in the unramified case, representations of low rank). These lecture notes contain several original results. The book assumes some background in geometry and arithmetic (symplectic forms, quadratic forms, reductive groups, etc.), and with the theory of reductive groups over a p-adic field. It is written for researchers in p-adic reductive groups, including number theorists with an interest in the role played by the Weil Representation and -series in the theory of automorphic forms. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1291 606 $aNumber theory 606 $aTopological groups 606 $aLie groups 606 $aGroup theory 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 615 0$aNumber theory. 615 0$aTopological groups. 615 0$aLie groups. 615 0$aGroup theory. 615 14$aNumber Theory. 615 24$aTopological Groups, Lie Groups. 615 24$aGroup Theory and Generalizations. 676 $a512.7 700 $aMoeglin$b Colette$4aut$4http://id.loc.gov/vocabulary/relators/aut$057494 702 $aVignéras$b Marie-France$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWaldspurger$b Jean-Loup$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466533803316 996 $aCorrespondances de Howe sur un corps p-adique$91487118 997 $aUNISA