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[null,"1.","Record Nr.",null,"UNINA9910480248803321"]
[null,null,"Titolo",null,"Affine insertion and Pieri rules for the affine Grassmannian / / Thoman Lam, [and others]"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2010"]
[{"$nulls":4},"©2010"]
[null,null,"ISBN",null,"1-4704-0591-1"]
[null,null,"Descrizione fisica",null,"1 online resource (82 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 977"]
[null,null,"Disciplina",null,"516/.4"]
[null,null,"Soggetti",null,"Geometry, Affine"]
[{"$nulls":4},"Combinatorial analysis"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 208, number 977 (second of 6 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"Chapter 1. Schubert Bases of Gr and Symmetric Functions\"\"; \"\"1.1. Symmetric functions\"\"; \"\"1.2. Schubert bases of Gr\"\"; \"\"1.3. Schubert basis of the affine flag variety\"\"; \"\"Chapter 2. Strong Tableaux\"\"; \"\"2.1. n as a Coxeter group\"\"; \"\"2.2. Fixing a maximal parabolic subgroup\"\"; \"\"2.3. Strong order and strong tableaux\"\"; \"\"2.4. Strong Schur functions\"\"; \"\"Chapter 3. Weak Tableaux\"\"; \"\"3.1. Cyclically decreasing permutations and weak tableaux\"\"; \"\"3.2. Weak Schur functions\"\"; \"\"3.3. Properties of weak strips\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"6.2. The reverse local rule\"\"\"\"6.3. Proofs for the reverse insertion\"\"; \"\"Chapter 7. Bijectivity\"\"; \"\"7.1. External insertion\"\"; \"\"7.2. Case A (commuting case)\"\"; \"\"7.3. Case B (bumping case)\"\"; \"\"7.4. Case C (replacement bump)\"\"; \"\"Chapter 8. Grassmannian Elements, Cores, and Bounded Partitions\"\"; \"\"8.1. Translation elements\"\"; \"\"8.2. The action of "]
[{"$nulls":4},"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\"\""]
[{"$nulls":4},"\"\"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\"\"; \"\"9.4. 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\"\""]