LEADER 02831nam 22006015 450 001 996466610303316 005 20200706204149.0 010 $a3-540-45423-3 024 7 $a10.1007/b83955 035 $a(CKB)1000000000233270 035 $a(SSID)ssj0000327669 035 $a(PQKBManifestationID)11239546 035 $a(PQKBTitleCode)TC0000327669 035 $a(PQKBWorkID)10319154 035 $a(PQKB)10347786 035 $a(DE-He213)978-3-540-45423-6 035 $a(MiAaPQ)EBC6303714 035 $a(MiAaPQ)EBC5592782 035 $a(Au-PeEL)EBL5592782 035 $a(OCoLC)1066189097 035 $a(PPN)155232509 035 $a(EXLCZ)991000000000233270 100 $a20121227d2002 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aYetter-Drinfel'd Hopf Algebras over Groups of Prime Order$b[electronic resource] /$fby Yorck Sommerhäuser 205 $a1st ed. 2002. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002. 215 $a1 online resource (VIII, 164 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1789 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-43799-1 327 $aIntroduction -- Preliminaries -- Clifford theory -- Examples -- Isomorphisms -- Constructions -- Commutative Yetter-Drinfel'd Hopf algebras -- 7.Cocommutative Yetter-Drinfel'd Hopf algebras -- Semisimple Hopf algebras of dimension p3 -- Semisimple Hopf algebras of dimension pq -- Applications -- References -- Subject index -- Symbol index. 330 $aBeing the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1789 606 $aAssociative rings 606 $aRings (Algebra) 606 $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027 615 0$aAssociative rings. 615 0$aRings (Algebra). 615 14$aAssociative Rings and Algebras. 676 $a512.55 700 $aSommerhäuser$b Yorck$4aut$4http://id.loc.gov/vocabulary/relators/aut$067460 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466610303316 996 $aYetter-Drinfel'd Hopf algebras over groups of prime order$9262195 997 $aUNISA