02831nam 22006015 450 99646661030331620200706204149.03-540-45423-310.1007/b83955(CKB)1000000000233270(SSID)ssj0000327669(PQKBManifestationID)11239546(PQKBTitleCode)TC0000327669(PQKBWorkID)10319154(PQKB)10347786(DE-He213)978-3-540-45423-6(MiAaPQ)EBC6303714(MiAaPQ)EBC5592782(Au-PeEL)EBL5592782(OCoLC)1066189097(PPN)155232509(EXLCZ)99100000000023327020121227d2002 u| 0engurnn|008mamaatxtccrYetter-Drinfel'd Hopf Algebras over Groups of Prime Order[electronic resource] /by Yorck Sommerhäuser1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (VIII, 164 p.) Lecture Notes in Mathematics,0075-8434 ;1789Bibliographic Level Mode of Issuance: Monograph3-540-43799-1 Introduction -- 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.Being 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.Lecture Notes in Mathematics,0075-8434 ;1789Associative ringsRings (Algebra)Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Associative rings.Rings (Algebra).Associative Rings and Algebras.512.55Sommerhäuser Yorckauthttp://id.loc.gov/vocabulary/relators/aut67460MiAaPQMiAaPQMiAaPQBOOK996466610303316Yetter-Drinfel'd Hopf algebras over groups of prime order262195UNISA