000			04082nam a22005053i 4500
001			EBC3114261
003			MiAaPQ
005			20240729124604.0
006			m o d |
007			cr cnu||||||||
008			240724s2010 xx o ||||0 eng d
020			_a9781470405915 _q(electronic bk.)
020			_z9780821846582
035			_a(MiAaPQ)EBC3114261
035			_a(Au-PeEL)EBL3114261
035			_a(CaPaEBR)ebr11039880
035			_a(OCoLC)922981972
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .A345 2010eb
082	0		_a516/.4
100	1		_aLam, Thomas.
245	1	0	_aAffine Insertion and Pieri Rules for the Affine Grassmannian.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2010.
264		4	_c©2010.
300			_a1 online resource (103 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.208
505	0		_aIntro -- Contents -- Introduction -- Chapter 1. Schubert Bases of Gr and Symmetric Functions -- 1.1. Symmetric functions -- 1.2. Schubert bases of Gr -- 1.3. Schubert basis of the affine flag variety -- Chapter 2. Strong Tableaux -- 2.1. n as a Coxeter group -- 2.2. Fixing a maximal parabolic subgroup -- 2.3. Strong order and strong tableaux -- 2.4. Strong Schur functions -- Chapter 3. Weak Tableaux -- 3.1. Cyclically decreasing permutations and weak tableaux -- 3.2. Weak Schur functions -- 3.3. Properties of weak strips -- 3.4. Commutation of weak strips and strong covers -- Chapter 4. Affine Insertion and Affine Pieri -- 4.1. The local rule u,v -- 4.2. The affine insertion bijection u,v -- 4.3. Pieri rules for the affine Grassmannian -- 4.4. Conjectured Pieri rule for the affine flag variety -- 4.5. Geometric interpretation of strong Schur functions -- Chapter 5. The Local Rule u,v -- 5.1. Internal insertion at a marked strong cover -- 5.2. Definition of u,v -- 5.3. Proofs for the local rule -- Chapter 6. Reverse Local Rule -- 6.1. Reverse insertion at a cover -- 6.2. The reverse local rule -- 6.3. Proofs for the reverse insertion -- Chapter 7. Bijectivity -- 7.1. External insertion -- 7.2. Case A (commuting case) -- 7.3. Case B (bumping case) -- 7.4. Case C (replacement bump) -- Chapter 8. Grassmannian Elements, Cores, and Bounded Partitions -- 8.1. Translation elements -- 8.2. The action of n on partitions -- 8.3. Cores and the coroot lattice -- 8.4. Grassmannian elements and the coroot lattice -- 8.5. Bijection from cores to bounded partitions -- 8.6. k-conjugate -- 8.7. From Grassmannian elements to bounded partitions -- Chapter 9. Strong and Weak Tableaux Using Cores -- 9.1. Weak tableaux on cores are k-tableaux -- 9.2. Strong tableaux on cores -- 9.3. Monomial expansion of t-dependent k-Schur functions.
505	8		_a9.4. Enumeration of standard strong and weak tableaux -- Chapter 10. Affine Insertion in Terms of Cores -- 10.1. Internal insertion for cores -- 10.2. External insertion for cores (Case X) -- 10.3. An example -- 10.4. Standard case -- 10.5. Coincidence with RSK as n -- 10.6. The bijection for n = 3 and m = 4 -- 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	_aGeometry, Affine.
650		0	_aCombinatorial analysis.
655		4	_aElectronic books.
700	1		_aLapointe, Luc.
700	1		_aMorse, Jennifer.
700	1		_aShimozono, Mark.
776	0	8	_iPrint version: _aLam, Thomas _tAffine Insertion and Pieri Rules for the Affine Grassmannian _dProvidence : American Mathematical Society,c2010 _z9780821846582
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114261 _zClick to View
999			_c69792 _d69792