MARC Record from marc_columbia

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001 16039889
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035 $a(OCoLC)ocn869933192
035 $a(NNC)16039889
040 $aOSU$beng$erda$epn$cOSU$dCHVBK$dN$T$dYDXCP$dNOC$dOCLCF$dLLB$dTEF$dN$T$dDHA$dOCLCQ$dINT$dOCLCQ$dOCLCO$dMM9$dOCLCQ$dOCLCO
019 $a933507888
020 $a9783037196304$q(electronic bk.)
020 $a3037196300$q(electronic bk.)
020 $z9783037191309
020 $z3037191309
035 $a(OCoLC)869933192$z(OCoLC)933507888
050 4 $aQA251.3$b.M365 2013eb
072 7 $aMAT$x002040$2bisacsh
082 04 $a512.44$223
049 $aZCUA
100 1 $aMarsh, Robert J.,$eauthor.
245 10 $aLecture notes on cluster algebras /$cRobert J. Marsh.
264 1 $aZürich, Switzerland :$bEuropean Mathematical Society,$c[2013]
264 4 $c©2013
300 $a1 online resource (117 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aZurich lectures in advanced mathematics
504 $aIncludes bibliographical references (pages 101-109) and index.
588 0 $aOnline resource; title from PDF title page (European Mathematical Society, viewed February 6, 2014).
520 $aCluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual canonical basis of a quantized enveloping algebra and totally positive matrices. The aim of these notes is to give an introduction to cluster algebras which is accessible to graduate students or researchers interested in learning more about the field, while giving a taste of the wide connections between cluster algebras and other areas of mathematics. The approach taken emphasizes combinatorial and geometric aspects of cluster algebras. Cluster algebras of finite type are classified by the Dynkin diagrams, so a short introduction to reflection groups is given in order to describe this and the corresponding generalized associahedra. A discussion of cluster algebra periodicity, which has a close relationship with discrete integrable systems, is included. The book ends with a description of the cluster algebras of finite mutation type and the cluster structure of the homogeneous coordinate ring of the Grassmannian, both of which have a beautiful description in terms of combinatorial geometry.
650 0 $aCluster algebras.
650 6 $aAlgèbres amassées.
650 7 $aMATHEMATICS$xAlgebra$xIntermediate.$2bisacsh
650 7 $aCluster algebras.$2fast$0(OCoLC)fst01763173
650 7 $aKommutative Algebra$2gnd
650 7 $aCoxeter-Diagramm$2gnd
650 7 $aAlgebraische Kombinatorik$2gnd
655 4 $aElectronic books.
830 0 $aZurich lectures in advanced mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16039889$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS