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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 00$aExtended graphical calculus for categorified quantum sl(2) /$fMikhail Khovano [and three others]
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011.
210  4$d©2011
215   $a1 online resource (87 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 219, Number 1029
300   $a"September 2012, Volume 219, Number 1029 (second of 5 numbers)."
311   $a0-8218-8977-X 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra   ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope   ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
327   $a""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra   ""; ""3.2. The 2-category   ""; ""3.3. Box notation for   ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and   ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of a??°^{(  )}a??°^{(  )}1_{  }""
327   $a""5.2. Decomposition of a??°^{(  )}a??±^{(  )}1_{  }""""5.3. Indecomposables over a???""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 219, Number 1029.
606   $aCategories (Mathematics)
606   $aQuantum groups
606   $aSymmetric functions
606   $aFinite fields (Algebra)
615  0$aCategories (Mathematics)
615  0$aQuantum groups.
615  0$aSymmetric functions.
615  0$aFinite fields (Algebra)
676   $a512/.482
702   $aKhovanov$b Mikhail
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910828805803321
996   $aExtended graphical calculus for categorified quantum sl(2)$93972451
997   $aUNINA