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Bombay lectures on highest weight representations of infinite dimensional lie algebras
| Bombay lectures on highest weight representations of infinite dimensional lie algebras |
| Autore | Kac Victor G. <1943-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (xii, 237 pages) |
| Disciplina | 520 |
| Collana |
Advanced series in mathematical physics
Gale eBooks |
| Soggetto topico |
Infinite dimensional Lie algebras
Quantum field theory |
| ISBN | 981-4522-20-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Preface to the second edition; CONTENTS; Lecture 1; 1.1. The Lie algebra d of complex vector fields on the circle; 1.2. Representations Vα,β of; 1.3. Central extensions of : the Virasoro algebra; Lecture 2; 2.1. Definition of positive-energy representations of Vir; 2.2. Oscillator algebra A; 2.3. Oscillator representations of Vir; Lecture 3; 3.1. Complete reducibility of the oscillator representations of Vir; 3.2. Highest weight representations of Vir; 3.3. Verma representations M(c, h) and irreducible highest weight representations V (c, h) of Vir
11.3. A character identity Lecture 12; 12.1. Preliminaries on sl2; 12.2. A tensor product decomposition of some representations of sl2; 12.3. Construction and unitarity of the discrete series representations of Vir; 12.4. Completion of the proof of the Kac determinant formula; 12.5. On non-unitarity in the region 0 c < 1, h 0; Lecture 13; 13.1. Formal distributions; 13.2. Local pairs of formal distributions; 13.3. Formal Fourier transform; 13.4. Lambda-bracket of local formal distributions; Lecture 14; 14.1. Completion of U, restricted representations and quantum fields 14.2. Normal ordered product |
| Record Nr. | UNINA-9910779990203321 |
Kac Victor G. <1943->
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bombay lectures on highest weight representations of infinite dimensional lie algebras
| Bombay lectures on highest weight representations of infinite dimensional lie algebras |
| Autore | Kac Victor G. <1943-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (xii, 237 pages) |
| Disciplina | 520 |
| Collana |
Advanced series in mathematical physics
Gale eBooks |
| Soggetto topico |
Infinite dimensional Lie algebras
Quantum field theory |
| ISBN | 981-4522-20-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Preface to the second edition; CONTENTS; Lecture 1; 1.1. The Lie algebra d of complex vector fields on the circle; 1.2. Representations Vα,β of; 1.3. Central extensions of : the Virasoro algebra; Lecture 2; 2.1. Definition of positive-energy representations of Vir; 2.2. Oscillator algebra A; 2.3. Oscillator representations of Vir; Lecture 3; 3.1. Complete reducibility of the oscillator representations of Vir; 3.2. Highest weight representations of Vir; 3.3. Verma representations M(c, h) and irreducible highest weight representations V (c, h) of Vir
11.3. A character identity Lecture 12; 12.1. Preliminaries on sl2; 12.2. A tensor product decomposition of some representations of sl2; 12.3. Construction and unitarity of the discrete series representations of Vir; 12.4. Completion of the proof of the Kac determinant formula; 12.5. On non-unitarity in the region 0 c < 1, h 0; Lecture 13; 13.1. Formal distributions; 13.2. Local pairs of formal distributions; 13.3. Formal Fourier transform; 13.4. Lambda-bracket of local formal distributions; Lecture 14; 14.1. Completion of U, restricted representations and quantum fields 14.2. Normal ordered product |
| Record Nr. | UNINA-9910814425703321 |
|
Kac Victor G. <1943->
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||