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001			EBC3114401
003			MiAaPQ
005			20240729124606.0
006			m o d |
007			cr cnu||||||||
008			240724s2012 xx o ||||0 eng d
020			_a9780821891100 _q(electronic bk.)
020			_z9780821889770
035			_a(MiAaPQ)EBC3114401
035			_a(Au-PeEL)EBL3114401
035			_a(CaPaEBR)ebr11041179
035			_a(OCoLC)922964944
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA169 -- .E984 2011eb
082	0		_a512/.482
100	1		_aKhovanov, Mikhail.
245	1	0	_aExtended Graphical Calculus for Categorified Quantum sl(2).
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2012.
264		4	_c©2011.
300			_a1 online resource (100 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.219
505	0		_aIntro -- 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 -- 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 ℰ^{( )}ℰ^{( )}1_{ } -- 5.2. Decomposition of ℰ^{( )}ℱ^{( )}1_{ } -- 5.3. Indecomposables over ℤ -- 5.4. Bases for HOMs between some 1-morphisms -- Bibliography.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aCategories (Mathematics).
650		0	_aQuantum groups.
650		0	_aSymmetric functions.
650		0	_aFinite fields (Algebra).
655		4	_aElectronic books.
700	1		_aLauda, Aaron D.
700	1		_aMackaay, Marco.
700	1		_aStosic, Marko.
776	0	8	_iPrint version: _aKhovanov, Mikhail _tExtended Graphical Calculus for Categorified Quantum sl(2) _dProvidence : American Mathematical Society,c2012 _z9780821889770
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114401 _zClick to View
999			_c69896 _d69896