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006			m o d |
007			cr cnu||||||||
008			240724s2013 xx o ||||0 eng d
020			_a9780821898741 _q(electronic bk.)
020			_z9780821872949
035			_a(MiAaPQ)EBC3114577
035			_a(Au-PeEL)EBL3114577
035			_a(CaPaEBR)ebr11041355
035			_a(OCoLC)922965005
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA171.485 -- .P674 2012eb
082	0		_a516.3/5
100	1		_aLam, Thomas.
245	1	0	_aPoset of k-Shapes and Branching Rules for k-Schur Functions.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2013.
264		4	_c©2012.
300			_a1 online resource (113 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.223
505	0		_aIntro -- Contents -- Abstract -- Chapter 1. Introduction -- 1.1. -Schur functions and branching coefficients -- 1.2. The poset of -shapes -- 1.3. -shape functions -- 1.4. Geometric meaning of branching coefficients -- 1.5. -branching polynomials and strong -tableaux -- 1.6. Tableaux atoms and bijection (1.20) -- 1.7. Connection with representation theory -- 1.8. Outline -- Acknowledgments -- Chapter 2. The poset of -shapes -- 2.1. Partitions -- 2.2. -shapes -- 2.3. Strings -- 2.4. Moves -- 2.5. Poset structure on -shapes -- 2.6. String and move miscellany -- Chapter 3. Equivalence of paths in the poset of -shapes -- 3.1. Diamond equivalences -- 3.2. Elementary equivalences -- 3.3. Mixed elementary equivalence -- 3.4. Interfering row moves and perfections -- 3.5. Row elementary equivalence -- 3.6. Column elementary equivalence -- 3.7. Diamond equivalences are generated by elementary equivalences -- 3.8. Proving properties of mixed equivalence -- 3.9. Proving properties of row equivalence -- 3.10. Proofs of Lemma 3.18 and Lemma 3.19 -- Chapter 4. Strips and tableaux for -shapes -- 4.1. Strips for cores -- 4.2. Strips for -shapes -- 4.3. Maximal strips and tableaux -- 4.4. Elementary properties of \ _{\ }^{( )}[ ] and \ _{\ }^{( )}[ ] -- 4.5. Basics on strips -- 4.6. Augmentation of strips -- 4.7. Maximal strips for cores -- 4.8. Equivalence of maximal augmentation paths -- 4.9. Canonical maximization of a strip -- Chapter 5. Pushout of strips and row moves -- 5.1. Reasonableness -- 5.2. Contiguity -- 5.3. Interference of strips and row moves -- 5.4. Row-type pushout: non-interfering case -- 5.5. Row-type pushout: interfering case -- 5.6. Alternative description of pushouts (row moves) -- Chapter 6. Pushout of strips and column moves -- 6.1. Reasonableness -- 6.2. Normality -- 6.3. Contiguity.
505	8		_a6.4. Interference of strips and column moves -- 6.5. Column-type pushout: non-interfering case -- 6.6. Column-type pushout: interfering case -- 6.7. Alternative description of pushouts (column moves) -- Chapter 7. Pushout sequences -- 7.1. Canonical pushout sequence -- 7.2. Pushout sequences from ( , ) are equivalent -- Chapter 8. Pushouts of equivalent paths are equivalent -- 8.1. Pushout of equivalences -- 8.2. Commuting cube (non-degenerate case) -- 8.3. Commuting cube (degenerate case =∅) -- 8.4. Commuting cube (degenerate case =∅) -- 8.5. Commuting cube (degenerate case =∅) -- Chapter 9. Pullbacks -- 9.1. Equivalences in the reverse case -- 9.2. Reverse operations on strips -- 9.3. Pullback of strips and moves -- 9.4. Pullbacks sequences are all equivalent -- 9.5. Pullbacks of equivalent paths are equivalent -- 9.6. Pullbacks are inverse to pushouts -- Appendix A. Tables of branching polynomials -- 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	_aPartially ordered sets.
650		0	_aSchur functions.
655		4	_aElectronic books.
700	1		_aLapointe, Luc.
700	1		_aMorse, Jennifer.
700	1		_aShimozono, Mark.
776	0	8	_iPrint version: _aLam, Thomas _tPoset of k-Shapes and Branching Rules for k-Schur Functions _dProvidence : American Mathematical Society,c2013 _z9780821872949
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114577 _zClick to View
999			_c70072 _d70072