02214cam 22003978i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000230016208200160018510000200020124501260022126300090034726400700035630000340042633600260046033700280048633800270051449000740054150400510061550506180066650600500128453300950133453800360142958800470146565000200151265000130153270000270154577601520157285600440172485600480176819540362RPAM20170613150257.0m b 001 0 cr/|||||||||||170613s2017 riu ob 001 0 eng  a9781470436995 (online) aDLCbengerdacDLCdRPAM00aQA251.3b.G66 201700a512/.552231 aGoodearl, K. R.10aQuantum cluster algebras structures on quantum nilpotent algebras /h[electronic resource] cK.R. Goodearl, M.T. Yakimov. a1705 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2017. a1 online resource (pages cm.) atextbtxt2rdacontent aunmediatedbn2rdamedia avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1169 aIncludes bibliographical references and index.00tChapter 1. IntroductiontChapter 2. Quantum cluster algebrastChapter 3. Iterated skew polynomial algebras and noncommutative UFDstChapter 4. One-step mutations in CGL extensionstChapter 5. Homogeneous prime elements for subalgebras of symmetric CGL extensionstChapter 6. Chains of mutations in symmetric CGL extensionstChapter 7. Division properties of mutations between CGL extension presentationstChapter 8. Symmetric CGL extensions and quantum cluster algebrastChapter 9. Quantum groups and quantum Schubert cell algebrastChapter 10. Quantum cluster algebra structures on quantum Schubert cell algebras1 aAccess is restricted to licensed institutions aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2017 aMode of access : World Wide Web aDescription based on print version record. 0aQuantum groups. 0aAlgebra.1 aYakimov, Milen,d1973-0 iPrint version: aGoodearl, K. R.tQuantum cluster algebras structures on quantum nilpotent algebras /w(DLC) 2017010083x0065-9266z97814704369404 3Contentsuhttp://www.ams.org/memo/1169/4 3Contentsuhttps://doi.org/10.1090/memo/1169