LEADER 04748nam 2200601 450 001 9910480595203321 005 20170822144313.0 010 $a0-8218-9874-4 035 $a(CKB)3780000000000141 035 $a(EBL)3114577 035 $a(SSID)ssj0000889146 035 $a(PQKBManifestationID)11502924 035 $a(PQKBTitleCode)TC0000889146 035 $a(PQKBWorkID)10876266 035 $a(PQKB)10667643 035 $a(MiAaPQ)EBC3114577 035 $a(PPN)195408349 035 $a(EXLCZ)993780000000000141 100 $a20150416h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe poset of k-shapes and branching rules for k-Schur functions /$fThomas Lam [and three others] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$dİ2012 215 $a1 online resource (101 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 223, Number 1050 300 $a"May 2013 , Volume 223, Number 1050 (fourth of 5 numbers)." 311 $a0-8218-7294-X 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""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""; ""6.4. 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"" 327 $a""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 =a???)""; ""8.4. Commuting cube (degenerate case =a???)""; ""8.5. Commuting cube (degenerate case =a???)""; ""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"" 327 $a""Appendix A. Tables of branching polynomials"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 223, Number 1050. 606 $aPartially ordered sets 606 $aSchur functions 608 $aElectronic books. 615 0$aPartially ordered sets. 615 0$aSchur functions. 676 $a516.3/5 702 $aLam$b Thomas$f1980- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480595203321 996 $aThe poset of k-shapes and branching rules for k-Schur functions$92211392 997 $aUNINA LEADER 02162nam 2200469 a 450 001 9910786000903321 005 20230801224708.0 010 $a0-19-991103-7 010 $a1-283-63461-9 010 $a0-19-987547-2 035 $a(CKB)2670000000259256 035 $a(EBL)1036307 035 $a(OCoLC)812482105 035 $a(Au-PeEL)EBL1036307 035 $a(CaPaEBR)ebr10608177 035 $a(CaONFJC)MIL394706 035 $a(MiAaPQ)EBC1036307 035 $a(EXLCZ)992670000000259256 100 $a20130503d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 200 10$aBenny Goodman's famous 1938 Carnegie Hall jazz concert$b[electronic resource]$fCatherine Tackley 210 $aOxford $cOxford University Press$d2012 215 $a1 online resource (242 p.) 225 1 $aOxford studies in recorded jazz 300 $aDescription based upon print version of record. 311 $a0-19-539831-9 320 $aIncludes bibliographical references (p. [198]-205), discography (p. [206]-214), and index. 327 $aContext -- Performance -- Representation. 330 $aOn January 16, 1938 Benny Goodman brought his swing orchestra to America's venerated home of European classical music, Carnegie Hall. The resulting concert - widely considered one of the most significant events in American music history - helped to usher jazz and swing music into the American cultural mainstream. This reputation has been perpetuated by Columbia Records' 1950 release of the concert on LP. Now, in Benny Goodman's Famous 1938 Carnegie Hall Jazz Concert, jazz scholar and musician Catherine Tackley provides the first in depth, scholarly study of this seminal concert and recording. 410 0$aOxford world's classics. 606 $aJazz$zNew York (State)$zNew York$y1931-1940$xHistory and criticism 615 0$aJazz$xHistory and criticism. 676 $a781.65092 700 $aTackley$b Catherine$01492581 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786000903321 996 $aBenny Goodman's famous 1938 Carnegie Hall jazz concert$93715165 997 $aUNINA