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Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh
| Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh |
| Autore | Welsh Trevor A (Trevor Alan), <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina |
510 s
511/.62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Combinatorial enumeration problems
Lie algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0428-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Prologue""; ""1.1. Introduction""; ""1.2. Structure of this paper""; ""1.3. Continued fractions""; ""1.4. Fermionic character expressions""; ""1.5. The Takahashi and string lengths""; ""1.6. Takahashi trees""; ""1.7. Takahashi tree vectors""; ""1.8. Truncated Takahashi tree""; ""1.9. The linear term""; ""1.10. The constant term""; ""1.11. The quadratic term""; ""1.12. The mn-system and the parity vector""; ""1.13. The extra term""; ""1.14. Finitized fermionic expressions""; ""1.15. Fermionic-like expressions""; ""2. Path combinatorics""; ""2.1. Outline of proof""
""2.2. The band structure""""2.3. Weighting function""; ""2.4. Winged generating functions""; ""2.5. Striking sequence of a path""; ""2.6. Path parameters""; ""2.7. Scoring generating functions""; ""2.8. A seed""; ""2.9. Partitions""; ""3. The B-transform""; ""3.1. Path-dilation: the B[sub(1)]-transform""; ""3.2. Particle insertion: the B[sub(2)]-transform""; ""3.3. Particle moves""; ""3.4. The B[sub(3)]-transform""; ""3.5. Particle content of a path""; ""4. The D-transform""; ""4.1. The pure D-transform""; ""4.2. The BD-pair""; ""5. Mazy runs""; ""5.1. The passing sequence"" ""5.2. The passing function""""5.3. Transforming the passing function""; ""5.4. Mazy runs in the original weighting""; ""6. Extending and truncating paths""; ""6.1. Extending paths""; ""6.2. Truncating paths""; ""7. Generating the fermionic expressions""; ""7.1. Runs and the core result""; ""7.2. Induction parameters""; ""7.3. The induction""; ""7.4. Transferring to the original weighting""; ""7.5. The other direction""; ""7.6. The mn-system""; ""8. Collating the runs""; ""8.1. Pulling the drawstrings""; ""8.2. Constraints of the Takahashi tree""; ""8.3. Gathering in the Takahashi tree"" |
| Record Nr. | UNINA-9910480099403321 |
Welsh Trevor A (Trevor Alan), <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh
| Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh |
| Autore | Welsh Trevor A (Trevor Alan), <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina |
510 s
511/.62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Combinatorial enumeration problems
Lie algebras |
| ISBN | 1-4704-0428-1 |
| Classificazione | 31.30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Prologue""; ""1.1. Introduction""; ""1.2. Structure of this paper""; ""1.3. Continued fractions""; ""1.4. Fermionic character expressions""; ""1.5. The Takahashi and string lengths""; ""1.6. Takahashi trees""; ""1.7. Takahashi tree vectors""; ""1.8. Truncated Takahashi tree""; ""1.9. The linear term""; ""1.10. The constant term""; ""1.11. The quadratic term""; ""1.12. The mn-system and the parity vector""; ""1.13. The extra term""; ""1.14. Finitized fermionic expressions""; ""1.15. Fermionic-like expressions""; ""2. Path combinatorics""; ""2.1. Outline of proof""
""2.2. The band structure""""2.3. Weighting function""; ""2.4. Winged generating functions""; ""2.5. Striking sequence of a path""; ""2.6. Path parameters""; ""2.7. Scoring generating functions""; ""2.8. A seed""; ""2.9. Partitions""; ""3. The B-transform""; ""3.1. Path-dilation: the B[sub(1)]-transform""; ""3.2. Particle insertion: the B[sub(2)]-transform""; ""3.3. Particle moves""; ""3.4. The B[sub(3)]-transform""; ""3.5. Particle content of a path""; ""4. The D-transform""; ""4.1. The pure D-transform""; ""4.2. The BD-pair""; ""5. Mazy runs""; ""5.1. The passing sequence"" ""5.2. The passing function""""5.3. Transforming the passing function""; ""5.4. Mazy runs in the original weighting""; ""6. Extending and truncating paths""; ""6.1. Extending paths""; ""6.2. Truncating paths""; ""7. Generating the fermionic expressions""; ""7.1. Runs and the core result""; ""7.2. Induction parameters""; ""7.3. The induction""; ""7.4. Transferring to the original weighting""; ""7.5. The other direction""; ""7.6. The mn-system""; ""8. Collating the runs""; ""8.1. Pulling the drawstrings""; ""8.2. Constraints of the Takahashi tree""; ""8.3. Gathering in the Takahashi tree"" |
| Record Nr. | UNINA-9910788749003321 |
|
Welsh Trevor A (Trevor Alan), <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh
| Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh |
| Autore | Welsh Trevor A (Trevor Alan), <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina |
510 s
511/.62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Combinatorial enumeration problems
Lie algebras |
| ISBN | 1-4704-0428-1 |
| Classificazione | 31.30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Prologue""; ""1.1. Introduction""; ""1.2. Structure of this paper""; ""1.3. Continued fractions""; ""1.4. Fermionic character expressions""; ""1.5. The Takahashi and string lengths""; ""1.6. Takahashi trees""; ""1.7. Takahashi tree vectors""; ""1.8. Truncated Takahashi tree""; ""1.9. The linear term""; ""1.10. The constant term""; ""1.11. The quadratic term""; ""1.12. The mn-system and the parity vector""; ""1.13. The extra term""; ""1.14. Finitized fermionic expressions""; ""1.15. Fermionic-like expressions""; ""2. Path combinatorics""; ""2.1. Outline of proof""
""2.2. The band structure""""2.3. Weighting function""; ""2.4. Winged generating functions""; ""2.5. Striking sequence of a path""; ""2.6. Path parameters""; ""2.7. Scoring generating functions""; ""2.8. A seed""; ""2.9. Partitions""; ""3. The B-transform""; ""3.1. Path-dilation: the B[sub(1)]-transform""; ""3.2. Particle insertion: the B[sub(2)]-transform""; ""3.3. Particle moves""; ""3.4. The B[sub(3)]-transform""; ""3.5. Particle content of a path""; ""4. The D-transform""; ""4.1. The pure D-transform""; ""4.2. The BD-pair""; ""5. Mazy runs""; ""5.1. The passing sequence"" ""5.2. The passing function""""5.3. Transforming the passing function""; ""5.4. Mazy runs in the original weighting""; ""6. Extending and truncating paths""; ""6.1. Extending paths""; ""6.2. Truncating paths""; ""7. Generating the fermionic expressions""; ""7.1. Runs and the core result""; ""7.2. Induction parameters""; ""7.3. The induction""; ""7.4. Transferring to the original weighting""; ""7.5. The other direction""; ""7.6. The mn-system""; ""8. Collating the runs""; ""8.1. Pulling the drawstrings""; ""8.2. Constraints of the Takahashi tree""; ""8.3. Gathering in the Takahashi tree"" |
| Record Nr. | UNINA-9910818805703321 |
|
Welsh Trevor A (Trevor Alan), <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler
| The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler |
| Autore | Krattenthaler C (Christian), <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (122 p.) |
| Disciplina | 511/.62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Generating functions
Lattice paths Young tableaux Hypergeometric series |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0131-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""I. Introduction""; ""II. Definitions and Preliminaries""; ""2.1 Definitions and Notation""; ""2.2 Two involutions and nonintersecting lattice paths""; ""III. Counting by Major Index""; ""3.1 Without restrictions""; ""3.2 With a diagonal boundary""; ""3.3 Tableaux generating functions""; ""IV. Counting by Strange Major Index""; ""4.1 Without restrictions""; ""4.2 With a diagonal boundary""; ""4.3 Tableaux generating functions""; ""V. Detailed Proofs and Auxiliary Results""
""5.1 The major index and strange major index generating functions for lattice paths without restrictions""""5.2 A correspondence for lattice paths that cross the line x = y""; ""5.3 A correspondence for pairs of intersecting lattice paths""; ""5.4 Correspondences between tableaux and nonintersecting lattice paths""; ""5.5 A determinant lemma""; ""5.6 A multiple basic hypergeometric summation""; ""References"" |
| Record Nr. | UNINA-9910480329903321 |
|
Krattenthaler C (Christian), <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler
| The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler |
| Autore | Krattenthaler C (Christian), <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (122 p.) |
| Disciplina | 511/.62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Generating functions
Lattice paths Young tableaux Hypergeometric series |
| ISBN | 1-4704-0131-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""I. Introduction""; ""II. Definitions and Preliminaries""; ""2.1 Definitions and Notation""; ""2.2 Two involutions and nonintersecting lattice paths""; ""III. Counting by Major Index""; ""3.1 Without restrictions""; ""3.2 With a diagonal boundary""; ""3.3 Tableaux generating functions""; ""IV. Counting by Strange Major Index""; ""4.1 Without restrictions""; ""4.2 With a diagonal boundary""; ""4.3 Tableaux generating functions""; ""V. Detailed Proofs and Auxiliary Results""
""5.1 The major index and strange major index generating functions for lattice paths without restrictions""""5.2 A correspondence for lattice paths that cross the line x = y""; ""5.3 A correspondence for pairs of intersecting lattice paths""; ""5.4 Correspondences between tableaux and nonintersecting lattice paths""; ""5.5 A determinant lemma""; ""5.6 A multiple basic hypergeometric summation""; ""References"" |
| Record Nr. | UNINA-9910788757503321 |
|
Krattenthaler C (Christian), <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler
| The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler |
| Autore | Krattenthaler C (Christian), <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (122 p.) |
| Disciplina | 511/.62 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Generating functions
Lattice paths Young tableaux Hypergeometric series |
| ISBN | 1-4704-0131-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""I. Introduction""; ""II. Definitions and Preliminaries""; ""2.1 Definitions and Notation""; ""2.2 Two involutions and nonintersecting lattice paths""; ""III. Counting by Major Index""; ""3.1 Without restrictions""; ""3.2 With a diagonal boundary""; ""3.3 Tableaux generating functions""; ""IV. Counting by Strange Major Index""; ""4.1 Without restrictions""; ""4.2 With a diagonal boundary""; ""4.3 Tableaux generating functions""; ""V. Detailed Proofs and Auxiliary Results""
""5.1 The major index and strange major index generating functions for lattice paths without restrictions""""5.2 A correspondence for lattice paths that cross the line x = y""; ""5.3 A correspondence for pairs of intersecting lattice paths""; ""5.4 Correspondences between tableaux and nonintersecting lattice paths""; ""5.5 A determinant lemma""; ""5.6 A multiple basic hypergeometric summation""; ""References"" |
| Record Nr. | UNINA-9910806189603321 |
|
Krattenthaler C (Christian), <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||